Question

A triangle has sides with lengths of 10, 15, and 6 feet. Find the perimeter of a similar triangle whose shortest side is 7​

Answer 1

P = 36 1/6 feet

Explanation:

you can create the following proportion:

6 / 7 = 10 / x

cross-multiply:

6x = 70

x = 11 2/3

use the same ratio to write a second proportion to find the last side:

6 / 7 = 15 / x

cross-multiply:

6x = 105

x = 17 1/2

Perimeter = 7 + 11 2/3 + 17 1/2 = 28 7/6 + 7 = 29 1/6 + 7 = 36 1/6 feet