Question

A square and a triangle have equal areas and equal bases. If a side of the square is 6cm, what is the altitude of the triangle?

Answer 1

12 cm

Explanation:

We know that the square is 6 cm by 6 cm, because all sides of a square are equal. So the base of the square is 6 cm, meaning the base of the triangle is 6 cm. The are of the square is 36 cm (6 x 6), so the triangle has the same area. If you take the equation for a triangles area a=1/2 bh (area, base and height or altitude in your case) and plug in what we know we get 36=1/2 x 6 x h. when we solve we get 12 cm=h