Question

Two eaual sides of a triangle are 5m less thrice the third side. if the perimeter of the triangle is 53m then length of each equal side is

Answer 1

let the third side be x
first side and second side =3x-5
perimeter of triangle =sum of all sides
53=x+3x-5+3x-5
53=7x-10
7x=53+10
7x=63
x=63÷7
x=9

first side =3x-5=3×9-5=27-5=22

therefore second side =22
third side =x=9

Answer 2

let the length of third side be x
then other two becomes 3x-5
Given perimeter of the triangle=53
$= > 3x - 5 + 3x - 5 + x = 53 \\ = > 7x - 10 = 53 \\ = > 7x = 63 \\ = > x = 9$
So the length of each equal sides =3x-5=(3x9)-5=22