Question

The perimeter of an isosceles triangle is 24cm. The unequal side is twice as long as the equal sides.

How long is the equal side?

Answer 1

Equal sides = 6cm each

Unequal side = 12cm

Explanation:

Perimeter of a triangle = side a + side b + side c

Let

Side a = side b = x

Side c = 2x

Perimeter of the triangle=24cm

Perimeter of a triangle = side a + side b + side c

24 = x + x + 2x

24 = 4x

Divide both sides by 4

24 / 4 = 4x / 4

6 = x

x = 6

The equal sides = x = 6cm each

The unequal side = 2x

= 2(6)

= 12cm

Check:

Perimeter of a triangle = side a + side b + side c

= 6cm + 6cm + 12cm

= 24cm