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 8 , 6 , and 16 , respectively. What is the rectangle's area?

1 Answer
Jim G.
Mar 28, 2018

"area "~~84.66" to 2 dec. places"

Explanation:

"the area (A) of the rectangle "=color(red)(bar(ul(|color(white)(2/2)color(black)(A=16B)color(white)(2/2)|)))

"to find B use "color(blue)"Pythagoras' theorem"

"In the right triangle "A=8" and "C=6

rArrB=sqrt(8^2-6^2)=sqrt28

rArrA=16xxsqrt28~~84.66" to 2 dec. places"

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