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 #10 #, #6 #, and #3 #, respectively. What is the rectangle's area?

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Answer 1 · 2016-04-07T08:08:00

Area of the rectangle #=24" "#square units

compute by Pythagorean Theorem the side b of the right triangle

#b=sqrt(a^2-c^2)=sqrt(10^2-6^2)=8#

One side of the rectangle is 3 which is adjancent to b=8

So the sides of the rectangle are 3 and 8

Area #=3*8=24#

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