Pythagorean Theorem Review Sheet
1. Which segment represents the hypotenuse of the triangle below?
̅̅̅̅
A. ̅̅̅̅
𝐴𝐵
B. ̅̅̅̅
𝐴𝐶
C. 𝐵𝐶
2. Three triangles are drawn in rectangle PQRS. Which of the following segments is
a hypotenuse of one of these triangles?
A.
B.
C.
D.
̅̅̅̅
𝑅𝑆
̅̅̅̅
𝑅𝑄
̅̅̅̅
𝑋𝑆
̅̅̅̅
𝑋𝑄
Find the missing side. Round to the nearest hundredth if necessary.
3.
5.
4.
a = 25, b = 60
6.
a = 1, c = 6
Determine if the three sides given represent a right triangle.
7.
1, 2, 3
8.
15, 36, 39
9. Which group of three side lengths could form a right triangle?
A.
B.
C.
D.
5 ft, 12 ft, 13 ft
7 ft, 11 ft, 14 ft
15 ft, 20 ft, 22 ft
18 ft, 34 ft, 39 ft
10. A ladder is leaning up against a house. The foot of the ladder is 2.5 feet from the
house. The ladder is 8 feet long. How far up the side of the house does it reach?
(Hint: Draw a picture!)
11. Mr. Malone plans to construct a walkway through his rectangular garden, as shown
in the drawing. What is the approximate value of w? Round to the nearest whole
number!