Question

two equal sides of an isosceles triangle are each 2 centimetre more than thrice the third side if the perimeter of triangle is 67 cm, find the lengths of it's sides

Answer 1

Let the third side be y.
Then, the other 2 sides will be 3y+2 each.

Therefore, (3y+2)+(3y+2)+y = 67
                 or, 7y = 63
                 or, y = 9 cm.

The side lengths are 9 cm, 29 cm and 29 cm.

Answer 2

let third angle be 3x

perimeter of isosceles triangle= sum of all angles
67=2+2+3x
3x=67-4
3x=63
x=21cm
third angle be 3×21=63cm ans