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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


Answer: (a)


Correct answer : (1)
 2.  
The distance between the points A(- 8, 2) and B(- 8, - 4) is:
a.
9
b.
7
c.
6
d.
5


Answer: (c)


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


Answer: (b)


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


Answer: (d)


Correct answer : (4)
 5.  
The distance between the points C(- 9, 0) and D (0, 4) is
a.
- 94
b.
94
c.
97
d.
- 97


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.


Correct answer : (3)
 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


Answer: (a)


Correct answer : (1)
 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


Answer: (d)


Correct answer : (4)
 8.  
The length of the chord AB = 14 inches. What is the radius of the circle?

a.
7 inches
b.
72 inches
c.
82 inches
d.
8 inches


Answer: (b)


Correct answer : (2)
 9.  
Find the value of x in the figure.

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


Answer: (d)


Correct answer : (4)
 10.  
Find the value of x in the right triangle.

a.
13
b.
12
c.
3
d.
16


Answer: (b)


Correct answer : (2)

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