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 #9 #, #5 #, and #22 #, respectively. What is the rectangle's area?

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Answer 1 · 2016-06-30T00:56:14

#22*sqrt56~~164.6squnit#

Given
#A->"Hypotenuse"=9#
#C->"Other side "=5#

Applying Pythagorus theorem

#B=sqrt(A^2-C^2)=sqrt(9^2-5^2)#
#=>B=sqrt56#

The side of the rectangle adjacent to side B is 22.

So area of the rectangle
#=sqrt56xx22~~164.6squnit#