Question

the perimeter of a triangle is 150 inches. if the second side is three times the first side and the third side is 10 more than the first side, write the equation that would help you find the length of all three sides

Answer 1

The length of three sides are 28 in, 84in and 38in respectively.

Explanation:

Perimeter = 150 inches

Let's assume first side as x. Then,

first side = x

second side = 3x

third side = 10 + x

Solution :

Perimeter = first side + second side + third side

150 = x + 3x + 10 + x

150 = 5x + 10

5x = 150 - 10

5x = 140

x = 140 / 5

x = 28

Now, length of each side:

First side = x = 28 inches

Second side = 3x = 84 inches

Third side = 10 + x = 38 inches