give Pythagorean theorem worded problem with answers
1. give Pythagorean theorem worded problem with answers
Problem:
A ladder is leaning against a wall. The bottom of the ladder is 6 feet away from the wall, and the top of the ladder is 8 feet away from the ground. What is the length of the ladder?
Solution:
Let the length of the ladder be "L". According to the Pythagorean theorem, the square of the length of the hypotenuse of a right triangle (in this case, the ladder) is equal to the sum of the squares of the lengths of the other two sides (in this case, the distance between the wall and the bottom of the ladder and the height from the ground to the top of the ladder).
Therefore, we have:
L^2 = 6^2 + 8^2
L^2 = 36 + 64
L^2 = 100
L = sqrt(100)
L = 10 feet
Answer: The length of the ladder is 10 feet.
2. Hi can anyone help me with this word problem. (Pythagorean Theorem word problem)
Answer:
The tall of the post is 5.29 ft.
Step-by-step explanation:
Pythagorean Theorem formula: c² = a² + b², where "c" is the hypotenuse, "b" is the adjacent and "a" is the side.
Given that the hypotenuse is 8 ft and the adjacent is 6 ft, we will find its side.
Simplify using Pythagorean Theorem;
c² = a² + b²
(8)² = a² + (6)²
64 = a² + 36
-36 + 64 = a² + 36 - (36) — eliminate 36
28 = a² or a² = 28
Find the root;
a² = 28
a = √28
a = 5.29 or 5.29 ft.
So the height of the post is 5. 29 ft. before it fell in the ground.
#CarryOnLearning
3. PYTHAGOREAN Direction:solve the given problem using pythagorean theorem
Answer:
24.21 meters
Step-by-step explanation:
pythogorean foromula: c = [tex]\sqrt{a^{2} +b^{2} }[/tex]
so a = 10, b = 24
so c = [tex]\sqrt{(10)^{2} + (24)^{2} }[/tex]
c = 24.21
4. What is Pythagorean theorem?
Answer:
Pythagorean theoremnis a fundamental relation in Euclidean geometry among the three sides of a right triangle.
5. 1. What is Pythagorean Theorem?2. Where can we use Pythagorean Theorem?3. How will you remember the Pythagorean Theorem?
Answer:
1. The pythagorean theorem is a theorem that states:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
2. It can be used to identify the measures of the sides of a triangle
3. It can be remembered through continuous practice
6. Using Pythagorean Theorem solve the problem and use the space below for your computation.
Answer:
√34 or 5.83
Step-by-step explanation:
Pythagorean Theorem Formula:
c² = a² + b²
c² = 5² + 3²
c² = 25 + 9
c² = 34
√c² = √34
c = √34 or 5.83
7. Give me some solving problem in math by pythagorean theorem
What is the name for the longest side of a right angled triangle?
8. State the Pythagorean theorem and explain when do we use the Pythagorean Theorem.
Answer:
The Pythagorean theorem is a theorem that has been proven to be a useful tool in measuring the sides of right triangles. This theorem relates the two legs to the measure of the hypotenuse via the relationship [tex]c^2 = a^2 + b^2[/tex] where c is the length of the hypotenuse while a and b are the lengths of the legs. This means that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs
9. Application of pythagorean theorem
The Application of Pythagorean Theorem
a^2+b^2=c^2
where a,b and c are real numbers and a should not equal to zero.
Example:
a = 2 b = 3 c = ?
a^2+b^2=c^2
2^2+3^2=c^2
4+9=c^2
13=c^2
√13=√c^2
3.61=c
10. What is Pythagorean Theorem? ❤️
The Phthagorean Theorem, also known as Phythagoras’ theorem, is a fundamental relation in Euclidean geometry among the three sides of a right traingle. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides
11. Pythagorean theorem
Answer:
pleasee see attached file
12. formula of pythagorean theorem
[tex] a^{2} + b^{2} = c^{2} [/tex]
The pythagorean theorem can be used in right triangles and c is the hypotenuse
[tex]formula \ of \ pythagorean \ theorem :\\-\ When \ the \ triangle \ has \ a \ right \ angle \ 90^o \\ - \ and \ squares \ are \ made \ on \ each \ of \ the \ three \ sides \\ - \ the \ biggest \ square \ has \ the \ exact \ same \ area \ as \ the \ other \ two \ squares \ put \ together \\ \\ c^2 =a^2 + b^2\\\\c \ is \ the \ longest \ side \ of \ the \ triangle \\a \ and \ b \ are \ the \ other \ two \ sides[/tex]
13. Three pythagorean theorem?
Answer:
A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. ... The name is derived from the Pythagorean theorem, stating that every right triangle has side lengths satisfying the formula a2 + b2 = c2; thus,Pythagorean triples describe the three integer side lengths of a right triangle.
Answer:
Click the picture that I give you today and understand that is my clue
Step-by-step explanation:
Good luck thanks
14. can you apply the concept of pythagorean theorem and the six trigonometric ratios in solving the problem above
Answer:
You can use your knowledge of the Pythagorean Theorem and the six trigonometric functions to solve a right triangle.
Step-by-step explanation:
15. example of pythagorean theorem (problem)
An example of pythagorean theorem could be: You are given the base of the right triangle is 6 cm & perpendicular is 8 cm, calculate the length of it's hypotenuse.
Here, apply Pythagoras theorem,
H² = P² + B²
H² = 6² + 8²
H² = 36 + 64
H = √100
H = 10
By using Pythagoras theorem, you did find out the value of hypotenuse which is equal to 10 cm in this case.
Hope this helps!H^2 = P^2 + B^2
The guy above correctly explained, go with it. Good luck
16. pythagorean theorem
Answer:
1. g = 4
Solution:
[tex]f^{2} + g^{2} = h^{2}\\3^{2} + g^{2} = 5 ^{2}\\9 + g^{2} = 25\\g^{2} = 25 - 9\\g^{2} = 16\\g = 4[/tex]
2. h = 13
Solution:
[tex]f^{2} + g^{2} = h^{2}\\5^{2} + 12^{2} = h^{2}\\25 + 144 = 25\\h^{2} = 169\\h = 13[/tex]
3. f = 7
Solution:
[tex]f^{2} + g^{2} = h^{2}\\f^{2} + 24^{2} = 25 ^{2}\\f^{2} + 576 = 625\\f^{2} = 625 - 576\\f^{2} = 49\\f = 7[/tex]
4. h = 17
Solution:
[tex]f^{2} + g^{2} = h^{2}\\8^{2} + 15^{2} = h^{2}\\64 + 225 = h^{2}\\h^{2} = 289\\h = 17[/tex]
5. g = 40
17. I can apply the Pythagorean theorem in solving real-life problems such as
Answer:
Such as determining the height of something, For example, We can determine the height of an tree, Or in directions, we can find the fastest and easiest road for us to go to.
Step-by-step explanation:
18. What is Pythagorean Theorem?
It is a relation in Euclidian geometry among three sides of a right triangle. It states that the square of hypotenuse is equal to the sum of the squares of the other two sides.
It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides with a formula:
c²= a² + b²
19. Pythagorean theorem
Answer:
Ano po ang gagawin diyan
ANSWER:7.61677 or 7.62
SOLUTION:
20. Pythagorean Theorem Answer the following: 1) What is Pythagorean Theorem? - 2) Who discovered Pythagorean Theorem? 3) What is the formula used for the Pythagorean theorem? 4) What type of triangle does the Pythagorean theorem apply to? 5) Give at least 1 example on how the Pythagorean theorem works.
Answer:
The Pythagorean Theorem, also referred to as the ‘Pythagoras theorem,’ is arguably the most famous formula in mathematics that defines the relationships between the sides of a right triangle.
The theorem is attributed to a Greek mathematician and philosopher named Pythagoras (569-500 B.C.E.). He has many contributions to mathematics, but the Pythagorean Theorem is the most important of them.
Pythagoras is credited with several contributions in mathematics, astronomy, music, religion, philosophy, etc. One of his notable contributions to mathematics is the discovery of the Pythagorean Theorem. Pythagoras studied the sides of a right triangle and discovered that the sum of the square of the two shorter sides of the triangles is equal to the square of the longest side.
This article will discuss what the Pythagorean Theorem is, its converse, and the Pythagorean Theorem formula. Before getting deeper into the topic, let’s recall the right triangle. A right triangle is a triangle with one interior angle equals 90 degrees. In a right triangle, the two short legs meet at an angle of 90 degrees. The hypotenuse of a triangle is opposite the 90-degree angle.
What is the Pythagorean Theorem?
The Pythagoras theorem is a mathematical law that states that the sum of squares of the lengths of the two short sides of the right triangle is equal to the square of the length of the hypotenuse.
The Pythagoras theorem is algebraically written as:
a2 + b2 = c2
How to do the Pythagorean theorem?
Consider a right triangle above.
Given that:
∠ ABC= 90°.
Let BD be the perpendicular line to the side AC.
Similar ∆s:
∆ADB and ∆ABC are similar triangles.
From the similarity rule,
⇒ AD/AB = AB/AC
⇒ AD × AC = (AB) 2 —————– (i)
Similarly;
∆BDC and ∆ABC are similar triangles. Therefore;
⇒ DC/BC = BC/AC
⇒ DC × AC = (BC) 2 —————– (ii)
By combining equation (i) and (ii), we get,
AD × AC + DC × AC = (AB) 2 + (BC) 2
⇒ (AD + DC) × AC = (AB) 2 + (BC) 2
⇒ (AC)2 = (AB) 2 + (BC) 2
Therefore, if we let AC = c; AB = b and BC = b, then;
⇒ c2 = a2 + b2
There are many demonstrations of the Pythagorean Theorem given by different mathematicians.
Another common demonstration is to draw the 3 squares in such a way that they form a right triangle in between, and the area of the bigger square (the one at hypotenuse) is equal to the sum of the area of the smaller two squares (the ones on the two sides).
Consider the 3 squares below:
They are drawn in such a way that they form a right triangle. We can write their areas can in equation form:
Area of Square III = Area of Square I + Area of Square II
Let’s suppose the length of square I, square II, and square III are a, b and c, respectively.
Then,
Area of Square I = a 2
Area of Square II = b 2
Area of Square III = c 2
Hence, we can write it as:
a 2 + b 2 = c 2
which is a Pythagorean Theorem.
The Converse of the Pythagorean Theorem
The converse of the Pythagorean theorem is a rule that is used to classify triangles as either right triangle, acute triangle, or obtuse triangle.
Given the Pythagorean Theorem, a2 + b2 = c2, then:
For an acute triangle, c2< a2 + b2, where c is the side opposite the acute angle.
For a right triangle, c2= a2 + b2, where c is the side of the 90-degree angle.
For an obtuse triangle, c2> a2 + b2, where c is the side opposite the obtuse angle.
Example 1
Classify a triangle whose dimensions are; a = 5 m, b = 7 m and c = 9 m.
Solution
According to the Pythagorean Theorem, a2 + b2 = c2 then;
a2 + b2 = 52 + 72 = 25 + 49 = 74
But, c2 = 92 = 81
Compare: 81 > 74
Hence, c2 > a2 + b2 (obtuse triangle).
Example 2
Classify a triangle whose side lengths a, b, c, are 8 mm, 15 mm, and 17 mm, respectively.
Solution
a2 + b2 = 82 + 152 = 64 + 225 = 289
But, c2 = 172 = 289
Compare:289 = 289
Therefore, c2 = a2 + b2 (right triangle).
Example 3
21. what is pythagorean theorem
Answer:
PYTHAGOREAN THEOREMStep-by-step explanation:
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.22. what is Pythagorean theorem
In this theorem, In a right triangle, it states that the square of the hypotenuse (longest side of a right triangle) is equal to the sum of the squares of the other sides (the adjacent and the opposite). It can be express in the form : [tex] a^{2} [/tex]+[tex] b^{2} [/tex] = [tex] c^{2} [/tex]Pythagorean theorem is a theorem in geometry. It refers to the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides. It is also called "Pythagoras' Theorem" and can be written in one short equation: a^2 + b^2 = c^2.
23. PERFORMANCE TASK: 4 Make 1 word problem about Pythagorean Theorem and solve. Write in on a bond paper Gumawa ng 1 word problem tungkol sa Pythagorean Theorem at sagutan ito. Isulat sa isang bond paper.
Answer:
Case 1: To find the hypotenuse where perpendicular and base are given.
Case 2: To find the base where perpendicular and hypotenuse are given.
Case 3: To find the perpendicular where base and hypotenuse are given.
Step-by-step explanation:
#CARRY ON LEARNING
24. What is Pythagorean’s theorem?
Answer: a theorem in geometry: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
Step-by-step explanation:
25. 2. When aretriangle similarity and Pythagorean theorem applicable in solving wordproblems in real life?
Answer:
The Pythagorean Theorem is a statement in geometry that shows the relationship between the lengths of the sides of a right triangle – a triangle with one 90-degree angle. The right triangle equation is a2 + b2 = c2. Being able to find the length of a side, given the lengths of the two other sides makes the Pythagorean Theorem a useful technique for construction and navigation.
26. what is Pythagorean theorem
Answer:
need ko po pts sorry po last ko na ito gagawin may iququestion po kasi ako sorry again sana mapatawad mo akk
Answer:Pythagorean theorem: a theorem in geometry: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides
27. What are some examples of real life problems of the Pythagorean Theorem?
Hawick is 151515 miles south of Abbotsford, and Kelso is 171717 miles east of Abbotsford.What is the distance from Hawick to Kelso?
28. What is Pythagorean Theorem?
The Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
a theorem in geometry: the square of the length of the hypotenuse of a righttriangle equals the sum of the squares of the lengths of the other two sidesc²=a²+b²
29. What is Pythagorean Theorem?
Answer:
it is
Step-by-step explanation:
One of the best known mathematical formulas is Pythagorean Theorem, which provides us with the relationship between the sides in a right triangle. A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle.
Answer:
a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
30. what is Pythagorean theorem?
Pythagorean theorem, also known as Pythagoras's theorem, is a relation in Euclidean Geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle is equal to the sum of the squares of the other two sides. The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation": Pythagorean theroem was discovered by Pythagoras. The Pythagorean theorem was used to find the sides, and the hypotenuse of the triangle. The formula for the Pythagorean theorem is [tex]a^{2} +b^{2}=c^{2} [/tex]
