Question

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.

Answer 1

Answer:

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