

1. 
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. 
14.3 m 
B. 
22.8 m 


C. 
9.8 m 
D. 
11.3 m 


Hint 


2. 
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. 
19 feet 


C. 
25 feet 
D. 
24 feet 


Hint 


3. 
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. 
It is not possible to determine if the triangle is a right triangle. 


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


D. 
No, because this triangle is scalene. 


Hint 


4. 
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. 
8.2 inches 


C. 
5.8 inches 
D. 
24.7 inches 


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. 
24.2 cm 
B. 
9.5 cm 


C. 
28.7 cm 
D. 
33.1 cm 


Hint 

