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 #12 #, #2 #, and #9 #, respectively. What is the rectangle's area?

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Answer 1 · 2016-08-10T15:30:29

#=106.5#

In a right-angled triangle # h=12#; #p=2#
Hence #b=sqrt(h^2-p^2)=sqrt(144-4)=sqrt(140)=11.83#
Therefore;
Area of the rectangle#=11.83 times 9=106.5#