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 #7/8 #, #3/5 #, and #12 #, respectively. What is the rectangle's area?

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Answer 1 · 2018-01-07T15:16:08

”Area of Rectangle” #= color (blue)(7.6428)#

#Delta ABC# is a right triangle with side A as hypotenuse.

#B = sqrt(A^2 - C^2) = sqrt((7/8)^2 - (3/5)^2)) = 0.6369#

Area of rectangle #= B * L = 0.6369 * 12 = 7.6428#