Question
If a triangle has sides measuring 6075 and 45 is it a right triangle?
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GPT 3.5
To determine if a triangle is a right triangle, we can use the Pythagorean theorem. According to the theorem, 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 lengths of the other two sides.
Let's calculate using the given side lengths:
Hypotenuse^2 = 6075^2 = 369,506,25
Sum of squares of other two sides = 45^2 + 45^2 = 4,050
Since the sum of the squares of the other two sides (4,050) is not equal to the square of the length of the hypotenuse (36950625), this triangle does not satisfy the Pythagorean theorem. Therefore, the triangle with sides measuring 6075 and 45 is not a right triangle.
Let's calculate using the given side lengths:
Hypotenuse^2 = 6075^2 = 369,506,25
Sum of squares of other two sides = 45^2 + 45^2 = 4,050
Since the sum of the squares of the other two sides (4,050) is not equal to the square of the length of the hypotenuse (36950625), this triangle does not satisfy the Pythagorean theorem. Therefore, the triangle with sides measuring 6075 and 45 is not a right triangle.
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