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41 and 51 are two side lengths of a right triangle. The three sides form a Pythagorean triple. Find the value of the third side, x. State whether it is the hyp or a leg.

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Answer:

the third side is approximately 30.33, and it is the hypotenuse of the right triangle

Step by step explanation:

In a Pythagorean triple, the three sides of a right triangle satisfy the Pythagorean theorem, which states that the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse).

We know that 41 and 51 are two sides of a right triangle, so we can use the Pythagorean theorem to find the value of the third side, x:

x^2 = 51^2 - 41^2
x^2 = 2601 - 1681
x^2 = 920
x ≈ 30.33

Therefore, the value of the third side is approximately 30.33, and it is the hypotenuse of the right triangle
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