By Christopher Thomas
Updated on Oct 1, 2011
Read the following study guide for a concept review:
The Pythagorean Theorem Study Guide
Practice Questions
Find the length of the side labeled x in each triangle.
1.  
2.  
3.  
4.  
5.  
6.  
7.  
8. 
9.  Find the hypotenuse of a right triangle with legs 2 feet and 7 feet long. 
10.  If a right triangle has a hypotenuse length of 10 feet and one leg length of 5 feet, what is the length of the other leg? 
11.  Suppose the hypotenuse of a right triangle is 50 cm long, and another side is 30 cm long. What is the length of the third side? 
12.  A right triangle has a onemeter leg and a twometer leg. How long is the hypotenuse? 
13.  The diagonal (hypotenuse) of a large right triangle is 6 miles long. If one leg is 2 miles long, how long is the other leg? 
14.  What is the hypotenuse of a right triangle with both legs 6 inches in length? 
15.  What is the hypotenuse of a right triangle with both legs 10 inches in length? 
16.  Suppose a right triangle has a leg length of 1.2 meters and a hypotenuse length of 3.6 meters. What is the length of the third side? 
17.  The hypotenuse of a right triangle is 30 inches long. If one leg measures 9.1 inches, what is the length of the other leg? 
18.  What is the hypotenuse of a right triangle with legs feet and feet long? 
19.  How long is the diagonal of a standard piece of paper that measures by 11 inches? 
20.  A 20foot ladder must always be placed 5 feet from a wall it is leaned against. What is the highest spot on a wall that the ladder can reach? 
21.  Televisions and computer screens are always measured on the diagonal. If a 14inch computer screen is 12 inches wide, how tall is the screen? 
22.  The bottom of a cardboard box is a 20inch square. What is the widest object that could be wedged in diagonally? 
Which of the following are Pythagorean triples?
23.  202129 
24.  153034 
25.  126061 
26.  123537 
27.  335665 
Find the Pythagorean triple generated by the given r and s.
28.  r = 4 and s = 1 
29.  r = 3 and s = 2 
30.  r = 9 and s = 4 
31.  r = 5 and s = 3 
32.  r = 10 and s = 3 

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