What value of x that is less than 51 will make (x,45,51)
a Pythagorean triple?
To find a value of x that will make the triple (x, 45, 51) a Pythagorean triple, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Therefore, for the triple (x, 45, 51) to be a Pythagorean triple, we need to find a value of x such that:
x^2 + 45^2 = 51^2
x^2 + 2025 = 2601
x^2 = 2601 - 2025
x^2 = 576
Taking the square root of both sides:
x = √576
x = 24
Therefore, the value of x that is less than 51 and makes the triple (x, 45, 51) a Pythagorean triple is x = 24.