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 13 , respectively. What is the rectangle's area?

1 Answer
Jim G.
May 4, 2017

"area "~~98.15" square units"

Explanation:

"Area of rectangle " =13B

"require to find B, the third side of the right triangle"

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

B^2=A^2-C^2

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

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

rArr"Area "=13xxsqrt57~~98.15" to 2 decimal places"

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