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 #9/8 #, #3/5 #, and #12 #, respectively. What is the rectangle's area?

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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 #9/8 #, #3/5 #, and #12 #, respectively. What is the rectangle's area?

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Answer 1 · 2017-09-29T03:24:35

Area of rectangle = 11.4

Explanation:

Side A = 9/8; Side C = 3/5
Side B #=sqrt(A^2-C^2) = sqrt((9/8)^2-(3/5)^2)#
#B^2=(9/8)^2-(3/5)^2#
#B^2=((81*25)-(9*64))/(64*25)#
#B^2=(2025-576)/1600#
#B^2=1449/1600#
#B=sqrt(1449/1600)=38.07/40=0.95#
Area of the rectangle #=(0.95)*12=11.4#

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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 #9/8 #, #3/5 #, and #12 #, respectively. What is the rectangle's area?

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