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 16 , 4 , and 3 , respectively. What is the rectangle's area?

1 Answer
Jim G.
Aug 19, 2017

~~ 46.476" square units"

Explanation:

"the area (A) of the rectangle is "color(red)(bar(ul(|color(white)(2/2)color(black)(A=3B)color(white)(2/2)|)))

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

B=sqrt(A^2-C^2)

color(white)(B)=sqrt(16^2-4^2)=sqrt240

rArr"area of rectangle "=3xxsqrt240~~ 46.476

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