Prove that no right triangle with integer sides can have are

Prove that no right triangle with integer sides can have area equal to a perfect square.

Solution

to solve this question just solve the fermat\'s method. the result would be the answer to the question.

Fermat says: \"If the area of a right-angled triangle were a square, there would exist two biquadrates the difference of which would be a square number.\"

A biquadrate is a value to the fourth-power. So, the biquadrate of 2 is 16.

This corresponds to the following equation:
p4 - q4 = z2.

This equation proves n = 4 since if x4 + y4 = z4, then:
x4 = (x2)2 = z4 - y4

So, proving there is no right triangle that has an area equal to a square will also prove Fermat\'s Last Theorem for n=4.