# Pythagorean Distance Formula Worksheet

Pythagorean Distance Formula Worksheet
• Page 1
1.
Find the distance between the points B(45, 6) and C(45, - 6).
 a. 12 b. 13 c. 15 d. 10

2.
The distance between the points A(- 8, 2) and B(- 8, - 4) is:
 a. 9 b. 7 c. 6 d. 5

3.
Find the distance between the points M(- 9, 1) and N(- 9, 10).
 a. 11 b. 9 c. 8 d. 10

4.
Find the distance between the points A(2, 8) and B(10, 8).
 a. 9 b. 7 c. 10 d. 8

5.
The distance between the points C(- 9, 0) and D (0, 4) is
 a. b. $\sqrt{94}$ c. $\sqrt{97}$ d.

#### Solution:

d = (x2-x1)2+(y2-y1)2

d = [0-(- 9)]2+[4-0]2
[Let (- 9, 0) = (x1, y1) and (0, 4) = (x2, y2).]

d = 92 +42

d = 81+16

d = 97

The distance between C and D is 97.

6.
One end of a 15 foot long wire is tied to the top of a pole and the other end is fixed on to the ground at a distance of 9 feet from the foot of the pole. What is the height of the pole?

 a. 12 feet b. 27 feet c. 15 feet d. 21 feet

7.
The hypotenuse of a right triangle is 2 feet more than its longer leg. The length of shorter leg is 6 feet. Find the length of the longer leg and the hypotenuse.
 a. 11 feet and 13 feet b. 10 feet and 12 feet c. 8 feet and 12 feet d. 8 feet and 10 feet

8.
The length of the chord AB = 14 inches. What is the radius of the circle?

 a. 7 inches b. 7$\sqrt{2}$ inches c. 8$\sqrt{2}$ inches d. 8 inches

9.
Find the value of $x$ in the figure.

 a. 36.24 b. 35.8 c. 30.25 d. 28.125

Find the value of $x$ in the right triangle.