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 #16 #, #2 #, and #4 #, respectively. What is the rectangle's area?
1 Answer
Dec 29, 2017
Explanation:
#"the area of the rectangle "=4B#
#"to find B use "color(blue)"Pythagoras' theorem"#
#rArrB=sqrt(16^2-2^2)=sqrt(252)=6sqrt7#
#rArr"area of rectangle "=4xx6sqrt7~~63.5" to 1 dec. place"#
