The ratio of tye measure of the sides of a triangle is 3:4:6, and its perimeter is 104 feet. Find the measure of each side of the triangle

Answer 1

Hi Jeremy W.

Sides are 24 ft, 32 ft, and 48 ft

The Perimeter of a Triangle is the sum of its three sides

Given the ratio the sides 3 : 4 : 6

Since the ratio indicates that sides share a common factor, we only need one variable to represent that value

Let x = unknown value

Given the Perimeter = 104

We have

3x + 4x + 6x = 104

13x = 104

Divide both sides by 13

x = 104/13

x = 8

Checking

3x + 4x + 6x = 104

3(8) + 4(8) + 6(8) = 104

24 + 32 + 48 = 104

104 = 104

I hope this helps