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 7 7, 3 3, and 8 8, respectively. What is the rectangle's area?

1 Answer
Jim G.
Jun 22, 2017

~~50.6" to 1 decimal place"≈50.6 to 1 decimal place

Explanation:

" the area (A ) of the rectangle is " color(red)(bar(ul(|color(white)(2/2)color(black)(A=8B)color(white)(2/2)|)))

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

B^2=A^2-C^2

color(white)(B^2)=7^2-3^2=49-9=40

rArrB=sqrt40=2sqrt10

rArrA=8xx2sqrt10~~50.6" to 1 decimal place"

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