# Product of Areas

## Product of Areas of Three Dissimilar Right Triangles

Submitted by BobDH on April 12, 2018 - 10:00am

The formula below will find the product **P** for the areas of 3 right triangles A, B & C, as described in Geometry Post, **Three Dissimilar Right Triangles.**

**P = (ab)^4 / 2c^2**

1. Triangle C is a known right triangle, with legs "a" & "b", and hypotenuse "c".

2. **a** is the short leg and **b** is the long leg of C

3. Hypotenuse of A = 2(b) of C.

4. Hypotenuse of B = 2(a) of C.