

1. 
Which equation represents the Pythagorean Theorem? 





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


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


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


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


C. 
9.8 m 
D. 
11.3 m 


Hint 


3. 
Find the length of the hypotenuse of the right triangle. 





A. 
15 cm 
B. 
75 cm 


C. 
5625 cm 
D. 
105 cm 


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. 
No, because this triangle is scalene. 


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


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


Hint 


5. 
If hypotenuse c is 29 centimeters and leg b is 16 centimeters, how long is leg a? Round to the nearest tenth. 


A. 
9.5 cm 
B. 
24.2 cm 


C. 
33.1 cm 
D. 
28.7 cm 


Hint 

