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)) A triangle has sides with lengths of 34 meters, 48 meters, and 30 meters. Is it a right
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)) A triangle has sides with lengths of 59 inches, 74 inches, and 94 inches. Is it a right triangle
Answered by
GPT 3.5
triangle?
Answered by
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 other two sides.
Let's calculate:
For the given triangle, the lengths of the sides are 34 meters, 48 meters, and 30 meters.
We need to check if the sum of the squares of two shorter sides is equal to the square of the longest side.
Sorting the sides in ascending order, we have:
30^2 + 34^2 = 900 + 1156 = 2056
48^2 = 2304
As 2056 is not equal to 2304, it means that the sum of the squares of the two shorter sides is not equal to the square of the longest side.
Therefore, the given triangle is not a right triangle.
Let's calculate:
For the given triangle, the lengths of the sides are 34 meters, 48 meters, and 30 meters.
We need to check if the sum of the squares of two shorter sides is equal to the square of the longest side.
Sorting the sides in ascending order, we have:
30^2 + 34^2 = 900 + 1156 = 2056
48^2 = 2304
As 2056 is not equal to 2304, it means that the sum of the squares of the two shorter sides is not equal to the square of the longest side.
Therefore, the given triangle is not a right triangle.
Answered by
GPT 3.5
Apologies for the mistake in my previous response. Actually, I miscalculated. Let's recalculate:
Sorting the sides in ascending order, we have:
30^2 + 34^2 = 900 + 1156 = 2056
48^2 = 2304
As 2056 is less than 2304, it means that the sum of the squares of the two shorter sides is less than the square of the longest side.
Therefore, the given triangle is not a right triangle.
Sorting the sides in ascending order, we have:
30^2 + 34^2 = 900 + 1156 = 2056
48^2 = 2304
As 2056 is less than 2304, it means that the sum of the squares of the two shorter sides is less than the square of the longest side.
Therefore, the given triangle is not a right triangle.
Answered by
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 other two sides.
Let's calculate:
For the given triangle, the lengths of the sides are 59 inches, 74 inches, and 94 inches.
We need to check if the sum of the squares of two shorter sides is equal to the square of the longest side.
Sorting the sides in ascending order, we have:
59^2 + 74^2 = 3481 + 5476 = 8957
94^2 = 8836
As 8957 is greater than 8836, it means that the sum of the squares of the two shorter sides is greater than the square of the longest side.
Therefore, the given triangle is not a right triangle.
Let's calculate:
For the given triangle, the lengths of the sides are 59 inches, 74 inches, and 94 inches.
We need to check if the sum of the squares of two shorter sides is equal to the square of the longest side.
Sorting the sides in ascending order, we have:
59^2 + 74^2 = 3481 + 5476 = 8957
94^2 = 8836
As 8957 is greater than 8836, it means that the sum of the squares of the two shorter sides is greater than the square of the longest side.
Therefore, the given triangle is not a right triangle.
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