Question

two equal sides of a triangle are each 5m less than twice the third side . if the perimeter of the triangle is 55 meters,find the length of its sides

Answer 1

Let the third side be a

Length of equal sides = 2a - 5

Perimeter = 2 ( 2a - 5) + a

=> 55 = 4a - 10 + a

=> 65 = 5a

=> a = 13

Third side = 13 m

Length of each equal side = 2(13) - 5 = 21 m

Answer 2

let one side be x

the equal sides will be 2x - 5

perimeter = sum of all sides

x + 2x - 5 + 2x - 5 = 55

5x - 10 = 55

5x = 65

x = 13cm

2x - 5 = 26 - 5 = 21cm

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