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?

1 Answer
Shwetank Mauria
Nov 30, 2016

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.
enter image source here

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

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