

1. 
Which equation represents the Pythagorean Theorem? 





A. 
a^{2} = b^{2} + c^{2} 


B. 
a^{2} + c^{2} = b^{2} 


C. 
c^{2} = a^{2} + b^{2} 


D. 
(a + b)^{2} = c^{2} 


Hint 


2. 
Find the length of the hypotenuse in the triangle below. Round to the nearest tenth. 





A. 
7.9 cm 
B. 
17.3 cm 


C. 
15 cm 
D. 
21 cm 


Hint 


3. 
Find the length of one leg of a right triangle if the length of the hypotenuse is 18 meters and the length of the other leg is 14 meters. Round to the nearest tenth. 


A. 
22.8 m 
B. 
14.3 m 


C. 
11.3 m 
D. 
9.8 m 


Hint 


4. 
The measures of three sides of a triangle are 12 meters, 16 meters, and 20 meters. Determine whether the triangle is a right triangle. Explain. 


A. 
No, because the converse of the Pythagorean Theorem is false. 


B. 
It is not possible to determine if the triangle is a right triangle. 


C. 
Yes, the converse of the Pythagorean Theorem is true. 


D. 
No, because this triangle is scalene. 


Hint 


5. 
If leg a is 13 inches long and leg b is 21 inches long, what is the length of hypotenuse c? Round to the nearest tenth. 


A. 
8.2 inches 
B. 
5.8 inches 


C. 
24.7 inches 
D. 
31.1 inches 


Hint 

