How many right triangles whose sides are all positive whole numbers having the property that the area is numerically equal to the perimeter?

Dear Abhishek,

: Let the triangle have leg lengths a and b, with a, b are whole numbers.

The given condition implies that

1/2ab = a + b +(a2 + b2)^1/2

Thus solving this to get the set of  possible values of a,b 

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