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 #9/8 #, #3/5 #, and #15 #, respectively. What is the rectangle's area?

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Answer 1 · 2016-11-10T14:45:15

Area of rectangle is #7.8#

As hypotenuse #A# of #DeltaABC# is #9/8# and one side #C# is #3/5#

third side #B=sqrt((9/8)^2-(3/5)^2)=sqrt(81/64+9/25)#

= #sqrt(1.265625-0.36)=sqrt0.905625=0.952#

As #B# is one side of rectangle and other side is #15#

Area of rectangle is #15xx0.952=7.8#