Question

The ratio of the measures of the sides of a triangle is

9:10:4. If the perimeter of the triangle is 276 inches, find
the length of the shortest side.
X =
=
Length of shortest side =

Answer 1

X = 48 inches for the shortest side

Explanation:

9s = first side

10s = second side

4s = third side

Perimeter = sum of the sides

276 = 9s + 10s + 4s

276 = 23s

276/23 = s

12 = s

9s = first side; 9(12) = 108

10s = second side; 10(12) = 120

4s = third side; 4(12) = 48