Question

If (x, 24, 25) is a Pythagorean triple what is the value of x?

Answer 1

A Pythagorean triple consists of 3 positive integers a,b and c such that

`a^2+b^2=c^2`

Then, by substituting the given information into the last result, we get

`x^2+24^2=25^2`

which gives

`x^2+576=625`

By subtracting 576 to both sides, we obtain

`x^2=49`

By taking square root to both sides, we get

`x=7`

Therefore, the answer is: x=7