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 #4 #, #2 #, and #7 #, respectively. What is the rectangle's area?

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Answer 1 · 2016-06-18T08:07:32

#14sqrt3squnit#

drawn
From the figure by pyhhagoras theorem

#B=sqrt(A^2-C^2)=sqrt(4^2-2^2)=2sqrt3unit#

So area of the rectangle

#=7xx2sqrt3=14sqrt3squnit#