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 #6 #, #4 #, and #5 #, respectively. What is the rectangle's area?

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Answer 1 · 2016-10-23T09:28:56

#5sqrt20#

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Given
A = hypotenuse = 6
B= 4
By Pythagoras theorem #B^2=A^2-C^2#

#=>B=sqrt(A^2-C^2)=sqrt(6^2-4^2)=sqrt20#

The area of the rectangle =#5sqrt20#