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.

Question

Philoid · Accepted Answer

In ΔACB and ΔCDB

(Common)

Then, Δ ACB ~ΔCDB (By AA Similarity)

So, (Corresponding parts of similar triangle area proportion)

Or

Or ab = cx