Question

In a right angled triangle with sides a and b and hypotenuse c, the altitude drawn on the hypotenuse is x. Prove that ab = cx.

Answer 1

Let ∆ABC be a right angle triangle having sides and ; and hypotenuse . BD is the altitude drawn on the hypotenuse AC.

We have to find to prove .

Since the altitude is perpendicular on the hypotenuse, both the triangles are similar

Hence, .