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

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Answer 1 · 2017-11-19T12:53:34

Area of rectangle #=27sqrt5 = 60.3638#

#A^2 = B^2 + C^2#
#9^2 = B^2 + 6^2#
#B = sqrt(9^2-6^2) = sqrt(45) = 3sqrt5#
Length of rectangle is 9 and breadth is #3sqrt5#

Area of rectangle #= l * b =9 * 3sqrt5#

= #27 sqrt5 = 60.3638#