

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 the hypotenuse in the triangle below. Round to the nearest tenth. 





A. 
17.3 cm 
B. 
21 cm 


C. 
7.9 cm 
D. 
15 cm 


Hint 


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





A. 
105 cm 
B. 
5625 cm 


C. 
15 cm 
D. 
75 cm 


Hint 


4. 
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. 
8 feet 
B. 
25 feet 


C. 
24 feet 
D. 
19 feet 


Hint 


5. 
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. 
It is not possible to determine if the triangle is a right triangle. 


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


Hint 

