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 9 9, 8 8, and 22 22, respectively. What is the rectangle's area?

1 Answer
Jim G.
Feb 5, 2018

~~90.71" square units to 2 dec. places"≈90.71 square units to 2 dec. places

Explanation:

"the area of the rectangle "=color(red)(22B)the area of the rectangle =22B

"calculate B using "color(blue)"Pythagoras' theorem"calculate B using Pythagoras' theorem

B=sqrt(9^2-8^2)=sqrt17B=√92−82=√17

rArr"area "=22sqrt17~~90.71" square units"⇒area =22√17≈90.71 square units

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