﻿ The Pythagorean Theorem Worksheet | Problems & Solutions

# The Pythagorean Theorem Worksheet

The Pythagorean Theorem Worksheet
• Page 1
1.
State which of the following measures will form a right triangle?
I. 9, 12, 15
II. 4, 6, $\sqrt{52}$
III. 3, 4, 6
 a. only I b. only II c. only III d. I and II

2.
If one side of a right triangle is 3 cm and the length of its hypotenuse is 4 cm, then find the length of the other side.
 a. $\sqrt{6}$ cm b. 7 cm c. $\sqrt{7}$ cm d. 6 cm

3.
If $b$ = 15 cm and $c$ = 5 cm, then find the value of $x$ in the right triangle.

 a. 22 cm b. 20 cm c. 24 cm d. 21 cm

4.
If $b$ = 8.8 units and $c$ = 11 units, then find the value of $a$ in the figure.

 a. 13.2 units b. 6.6 units c. 11.6 units d. 10.6 units

5.
If $a$ = 16.8 units and $c$ = 35.7 units, then find the value of $b$ in the figure.

 a. 34.5 units b. 32.5 units c. 33.5 units d. 31.5 units

6.
If $a$ = 7.5 units and $b$ = 10 units, then find the measure of the hypotenuse in the right triangle.

 a. 22.5 units b. 11 units c. 14.5 units d. 12.5 units

7.
One leg of a right triangle is 18 cm long. The other leg is 4 cm less than the hypotenuse. What are the lengths of this leg and hypotenuse?
 a. 34.5 cm and 38.5 cm b. 40.5 cm and 44.5 cm c. 38.5 cm and 42.5 cm d. 43.5 cm and 39.5 cm