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 11 , 8 , and 14 , respectively. What is the rectangle's area?

1 Answer
Jim G.
Jul 3, 2017

"area "~~105.70" square units"

Explanation:

"the area of the rectangle "= color(red)(bar(ul(|color(white)(2/2)color(black)(14B)color(white)(2/2)|)))

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

B^2=A^2-C^2

rArrB=sqrt(11^2-8^2)=sqrt57

rArr"area of rectangle "=14xxsqrt57~~105.70" square units"

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