Vocab
This equation relates the sides of any right triangle as a2 + b2 = c2, where a and b are the legs, and c is the hypotenuse
What is Pythagorean Theorem?
52
25
If a triangle has side lengths of 1, 2, and 5, is it a right triangle?
No; 12 + 22 ≠ 52
in the equation h2 + m2 = g2, what is the hypotenuse?
g2
√4
2
The Pythagorean Theorem is only used for this type of triangle.
What is right triangle?
72
49
if a triangle has leg lengths of 9 and 13, what is the length of the hypotenuse? (round your answer to the nearest 10th)
≈15.8
Sarah was given the lengths of a right triangle as 28, 53, and 45. She wrote the equation 282 + 532 = 452
Is Sarah correct? Why or why not?
No; Sarah did not use the longest length (53) as the hypotenuse.
√36
6
This term refers to the two sides of a right triangle that meet to form the 90° angle. They represent the vertical and horizontal sides that "support" the triangle.
What are legs?
132
169
A pole vaulter rests a 17-foot pole against a wall. If the top of the pole hits the wall 14 feet above the ground, how far from the wall is the bottom of the pole? (round to the nearest 10th)
around 9.6 feet
If a swimming pool has a length of 25 feet and a width of 12 feet, what equation could be used to find the diagonal distance across the pool?
√196
14
Originating from an Ancient Greek word meaning "stretching under," this term describes the side of a right triangle opposite the right angle.
What is Hypotenuse?
2.52
6.25
Tina built a triangular sign with side lengths of 73 inches, 55 inches and 4 feet. Is the sign a right triangle? Why or why not?
Yes; 4ft. = 48in., and 482 + 552 = 732
if you are given an isosceles triangle with a width of 40 and a side length of 25, what equation would you use to find the height of the triangle?
a2 + 202 = 252
Why? We need to take half the width to make the base of a right triangle: 40/2 = 20
√79
≈8.88
We know three numbers represent a right triangle by using this. This term states that when given three side lengths, if the sum of the two lesser squares equals the third square, then the triangle is a right triangle.
What is Converse of the Pythagorean Theorem?
372
1,369
Find the missing side length if b=24 and c=25
a=7
What equation would you use to find the diagonal distance of a square with a perimeter of 200 mi?
502 + 502 = c2
Why? if a square has a perimeter of 200 mi, each side length will be 50 mi; 200/4=50
√0.25