The perimeter of a triangle is 48 centimeters. if two sides are equally long and the third side is 6 centimeters longer than the others, find the lengths of the three sides.

The three sides are 14, 14, 20

x = length of the two equal sides

x+6 = length of the third longer side

add up the three lengths x, x, x+6. Set it equal to the perimeter 48. Solve for x

x+x+x+6 = 48

3x+6 = 48

3x+6-6 = 48-6 ... subtract 6 from both sides

3x = 42

3x/3 = 42/3 ... divide both sides by 3

x = 14

If x = 14, then x+6 = 14+6 = 20

The three sides are 14, 14, 20

We can check this by adding up the three sides 14+14+20 = 28+20 = 48 and we get the right perimeter.

the 4th choice is the correct one

step-by-step explanation: