Two sides of a triangle are equal in length and double the length of the shortest side. The perimeter of the triangle is 36 inches.

The length of the sides of the triangle are as follow: Two sides are 14.4 inches long and the shortest is 7.2 inches.

Step-by-step explanation:

P = 36in / / perimeter of triangle

P = A + B + C / /equation for perimeter of a triangle

A = B or B = A / /Showing that two sides are equal in length

A = 2C and B = 2C / /Showing that the two equal sides are each doubled of the shortest side

C = A/2 and C = B/2 / /Showing the same thing as the top, but in terms of the shortest side

Solve for C / /First we solve for the shortest side as it's easiest

36 = A + B + C

36 = 2C + 2C + C / /Use substitution for A and B

36 = 5C

C = 7.2in

Solve for A

A = 2C

A = 2 (7.2) / /Use what we solved for C

A = 14.4in

Solve for B

B = A

B = 14.4in / /Same as A

Check Work

P = A + B + C

P = 14.4 + 14.4 + 7.2

P = 36