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 #15 #, #2 #, and #4 #, respectively. What is the rectangle's area?

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Answer 1 · 2016-08-18T15:24:32

Area of the rectangle#=59.46#

In a right-angled triangle # h=15#; #p=2#

Hence #b=sqrt(h^2-p^2)=sqrt(15^2-2^2)=sqrt(225-4)=sqrt(221)=14.87#

Therefore;

Area of the rectangle#=4 times 14.87=59.46#