Question

Two equal sides of a triangle are each 4m less than three times the third side. Write down the dimensions of the triangle, if its perimeter is 55m

Answer 1

9 m , 23 m , 23 m

Explanation:

let the third side be represented by x , then the 2 equal sides are

3x - 4 and 3x - 4

the perimeter (P) is the sum of the 3 sides

P = x + 3x - 4 + 3x - 4 = 7x - 8

given P = 55 m , then equating

7x - 8 = 55 ( add 8 to both sides )

7x = 63 ( divide both sides by 7 )

x = 9

3x - 4 = 3(9) - 4 = 27 - 4 = 23

sides of triangle are 9 m , 23 m and 23 m