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 #7 #, #4 #, and #9 #, respectively. What is the rectangle's area?

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Answer 1 · 2017-12-30T21:28:42

#9sqrt33#

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This is what I am imagining the your problem looks like, based on the information you gave.

First, use the pythagorean theorem to find side B:
#sqrt(7^2-4^2# = #sqrt(33#

Then find the area of the rectangle:
#9 cdot sqrt(33# = 9 #sqrt(33# or #51.7 #