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 14 , 7 , and 9 , respectively. What is the rectangle's area?

1 Answer
Jim G.
Jul 2, 2017

~~109.12" square units"

Explanation:

"the area of the rectangle " = color(red)(bar(ul(|color(white)(2/2)color(black)(9B)color(white)(2/2)|)))

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

rArrB^2=A^2-C^2

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

color(white)(rArrB)=sqrt(14^2-7^2)=sqrt147

rArr" area of rectangle "=9xxsqrt147

color(white)(rArrarea of rectangle)~~109.12

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