The perimeter of a triangle is 75 cm. The longest side is 4cm less than the sum of the other two sides. Twice the shortest side is 7cm less than the longest side.

Answer 1

Perimeter = sum of the 3 sides =

Largest + Medium sized + Smallest

L+M+S = 75 *Equation I

Largest is 4 less than sum of the other 2 sides

L= M+S -4

L-M-S = -4 **Equation II

add ** starred Equations I and II

to eliminate 2 variables and get

2L = 75-4 = 71

L =71/2 = 35.5 cm = Longest side

twice shortesst = 7 less than the Longest

2S = L -7

M+S =75-L = 75-35.5 = 39.5

2S =L-7 = 35.5-7 = 28.5

S = 28.5/2= 14.25 cm = Smallest side

M = 75 -35.5-14.25 = 75-49.75 = 25.25 cm =Medium side

sides are 14.25, 25.25 and 35.5 centimeters in length

14 1/4 cm, 25 1/4 cm and 35 1/2 cm