Question

A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of `11`, `6`, and `12`, respectively. What is the rectangle's area?

Answer 1

Rectangle's area is `110.64`.

Explanation:

A right triangle has sides `A`, `B`, and `C`. Side `A` is the hypotenuse and side `B` is also a side of a rectangle. Sides `A`, `C`, and the side of the rectangle adjacent to side `B` have lengths of `11`, `6` and `12` respectively.

The figure appears as one shown below.

We can find the length of `B` using Pythagoras theorem and using this we have `A^2=B^2+C^2` or `B^2=A^2-C^2=121-36=85` and hence

`B=sqrt85=9.22`

And rectangle's area is `9.22xx12=110.64`