Question

Ella is trying to determine the side lengths of a triangle. She knows that the longest

side is three times longer than the shortest side. The medium side is ten more than
twice the shortest side. If the perimeter is 142 cm, how long is each side?

Answer 1

the shortest side = 22 cm

the medium side = 54 cm

the longest side = 66 cm

Explanation:

Let the shortest side = x

As the longest side is three times longer than the shortest side,

the longest side = 3x

As the medium side is ten more than twice the shortest side,

the medium side = 2x+10

the perimeter = 142

x+3x+2x+10 = 142

6x+10 = 142

6x = 142-10

6x = 132

x = 22

the shortest side = 22 cm

the longest side = 3*22 = 66 cm

the medium side = (2*22)+10 = 44+10 = 54 cm