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 #8 #, #6 #, and #16 #, respectively. What is the rectangle's area?
1 Answer
Mar 28, 2018
Explanation:
#"the area (A) of the rectangle "=color(red)(bar(ul(|color(white)(2/2)color(black)(A=16B)color(white)(2/2)|)))#
#"to find B use "color(blue)"Pythagoras' theorem"#
#"In the right triangle "A=8" and "C=6#
#rArrB=sqrt(8^2-6^2)=sqrt28#
#rArrA=16xxsqrt28~~84.66" to 2 dec. places"#
