

1. 
Which equation represents the Pythagorean Theorem? 





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


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


C. 
(a + 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. 
22.8 m 
B. 
11.3 m 


C. 
14.3 m 
D. 
9.8 m 


Hint 


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





A. 
10.5 ft 
B. 
17.5 ft 


C. 
7.1 ft 
D. 
12.6 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. 
Yes, the converse of the Pythagorean Theorem is true. 


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


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


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. 
24.7 inches 
B. 
5.8 inches 


C. 
31.1 inches 
D. 
8.2 inches 


Hint 

