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

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-3(b-8)-5=9(b+2)+1

distribute

-3b+24-5=9b+18+1

add/ subtract

-3b+20=9b+19

20-19= 1

-3b+1=9b

9b+3b= 12b

1=12b

1 divided by 12 = 1/12

answer: 1/12 = b