

1. 
Which equation represents the Pythagorean Theorem? 





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


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


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


D. 
c^{2} = a^{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. 
A 25foot ladder is positioned against a building so that the base of the ladder is 7 feet from the building. How high does the ladder reach? 


A. 
25 feet 
B. 
24 feet 


C. 
8 feet 
D. 
19 feet 


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 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. 
8.2 inches 


C. 
5.8 inches 
D. 
31.1 inches 


Hint 

