

1. 
Which equation represents the Pythagorean Theorem? 





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


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


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


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


Hint 


2. 
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. 
9.8 m 
B. 
14.3 m 


C. 
22.8 m 
D. 
11.3 m 


Hint 


3. 
Determine the length of a diagonal of the rectangle below. 





A. 
7.1 ft 
B. 
10.5 ft 


C. 
12.6 ft 
D. 
17.5 ft 


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


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


C. 
No, because this triangle is scalene. 


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


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. 
31.1 inches 
B. 
24.7 inches 


C. 
8.2 inches 
D. 
5.8 inches 


Hint 

