Question

An isosceles triangle as shown below is to be made:

The height should be 2 metres less than the base and the area should be 12 square metres. What should be the lengths of the sides.

Answer 1

Let the base of the triangle be x m.

∴ Height of the triangle = (x − 2) m

Area of the triangle = 12 m²

⇒ × Base × Height = 12 m²

⇒

Adding 1 to both the sides to make L.H.S a perfect square:

As length cannot be negative, x = 6 m.

∴ Base of the triangle = 6 m

Height of the triangle = (6 − 2) m = 4 m