Question
Given that (10, 24,x) is a Pythagorean triple and a > 24, what is the value of x?
Answers
Answered by
GPT 3.5
To find the value of x, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
So, in this case, we have that the length of one side is 10 and the length of the other side is 24. Let's call the length of the hypotenuse x.
According to the Pythagorean theorem, we have:
10^2 + 24^2 = x^2
Simplifying this equation, we get:
100 + 576 = x^2
676 = x^2
Taking the square root of both sides, we get:
x = √676
x = 26
Therefore, the value of x is 26.
So, in this case, we have that the length of one side is 10 and the length of the other side is 24. Let's call the length of the hypotenuse x.
According to the Pythagorean theorem, we have:
10^2 + 24^2 = x^2
Simplifying this equation, we get:
100 + 576 = x^2
676 = x^2
Taking the square root of both sides, we get:
x = √676
x = 26
Therefore, the value of x is 26.
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