Question

The measure of the sides of a

triangle are in the extended
ratio of 3:5:7. The perimeter
of the triangle is 45 in. What
are the measures of the three
sides?
a) 6, 16, 23
b) 8, 15, 22
c) 6,9,15
d) 3, 5, 7
e) 9, 15, 21

Answer 1

e) 9, 15, 21

Explanation:

First you multiply each number in the ratio by x and set it equal to the perimeter or 45 in this case.

3x + 5x + 7x = 45

Then you add the like terms and get

15x = 45

Solve for x

x = 3

Now multiply 3 by each number

3•3= 9

3•5= 15

3•7= 21

Answer: 9, 15, 21