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 #13 #, #4 #, and #5 #, respectively. What is the rectangle's area?

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Answer 1 · 2016-03-20T05:58:09

Area of rectangle is #61.85# sq. units.

As in the right angled triangle, #A# is hypotenuse of length #13# and #C# is #4#, side #B=sqrt(13^2-4^2)=sqrt(169-16)=sqrt153=12.37#

As the other side of rectangle at side #B# is #5#, area of rectangle is #12.37xx5=61.85#