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A pentagon is drawn by placing an isosceles right triangle on top of a rectangle as pictured. What percent of the area of the pentagon is the area of the right triangle?

 

 Mar 30, 2021
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Leg  of right triangle  =  L

 

Using the Pythagorean Theorem

2^2  = 2L^2

4 = 2L^2

2 = L^2

sqrt (2)  =  L

 

Area of right  triangle =   L^2  / 2   =   (sqrt 2)^2   2  =  2  / 2    =  1

 

Total area    1  + (1 * 2)  =   3

 

Area of triangle  / Area of Pentagon  =   1 / 3  =  33%

 

 

cool cool cool

 Mar 30, 2021

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