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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