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 #, #4/5 #, and #15 #, 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 #, #4/5 #, and #15 #, respectively. What is the rectangle's area?

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Answer 1 · 2016-02-18T08:23:08

Area of rectangle is #11.865#.

Explanation:

As A =#9/8# is hypotenuse and one side C is #4/5#, second side B is given by #sqrt((9/8)^2-(4/5)^2)# or #sqrt(81/64-16/25)=sqrt(1.265625-0.64)# or #sqrt0.625625=0.791#.

Hence rectangle's two sides are #0.791# and #15#. Hence

Area is #0.791*15=11.865#.

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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 #, #4/5 #, and #15 #, respectively. What is the rectangle's area?

1 Answer

Explanation:

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