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A certain right triangle with integer side lengths has perimeter 160. What is its area?

 May 19, 2021
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Note that  the Primitive Pythagorean Triple  8 + 15  + 17   =  40

 

So

 

4 ( 8 + 15  + 17)   =   160

 

So....the  legs  of our triangle   =  4*8  and 4 *15  =   32  and  60

 

So  the  area   =   32 * 60  /  2     =   960 

 

 

cool cool cool

 May 19, 2021

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