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 7, 6 6, and 16 16, respectively. What is the rectangle's area?

1 Answer
Jim G.
Feb 14, 2017

≈57.6" square units"≈57.6 square units

Explanation:

The area (A ) of the rectangle attached to side B is.

color(red)(bar(ul(|color(white)(2/2)color(black)(A=16xxB)color(white)(2/2)|)))

We require to find the side B.

Using color(blue)"Pythagoras' theorem" on the right triangle.

B^2+6^2=7^2

rArrB=sqrt(7^2-6^2)=sqrt(49-36)=sqrt13≈3.6

rArr"Area of rectangle "=16xx3.6=57.6" square units"

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