Question

The ratio of the measures of the sides of a triangle is 7:9:12, and it's perimeter is 84 inches. Find the measures of each side of the triangle.

Answer 1

The measures of each side of the triangle are 21 inches, 27 inches, and 36 inches.

Step-by-step explanation:

To find the measures of each side of the triangle, we need to use the given ratio and the perimeter of the triangle. Let's assume the ratio is 7x:9x:12x, where x is a constant. The sum of the ratio is 7x+9x+12x=84. Simplifying, we get 28x=84. Dividing both sides by 28, we find x=3. Therefore, the measures of each side are 7x=21 inches, 9x=27 inches, and 12x=36 inches.

Answer 2

Step-by-step explanation:

The lengths of the sides are 7x, 9x, and 12x.

7x + 9x + 12x = 84

28x = 84

x = 3 in

Sides: 21 in, 27 in, 36 in