Question
)) A triangle has sides with lengths of 28 kilometers, 45 kilometers, and 53 kilometers. Is it a right triangle?
Answers
Answer
)) A triangle has sides with lengths of 32 yards, 40 yards, and 24 yards. Is it a right
Answer
)) A triangle has sides with lengths of 24 yards, 45 yards, and 51 yards. Is it a right
Answer
)) A triangle has sides with lengths of 30 feet, 72 feet, and 78 feet. Is it a right triangle?
Answered by
GPT 3.5
To determine if the 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 is equal to the sum of the squares of the other two sides.
Let's calculate this in our case:
(28 kilometers)^2 + (45 kilometers)^2 = 784 + 2025 = 2809 kilometers^2
(53 kilometers)^2 = 2809 kilometers^2
Since both values are equal, we can conclude that the triangle is a right triangle, as it satisfies the Pythagorean theorem.
Let's calculate this in our case:
(28 kilometers)^2 + (45 kilometers)^2 = 784 + 2025 = 2809 kilometers^2
(53 kilometers)^2 = 2809 kilometers^2
Since both values are equal, we can conclude that the triangle is a right triangle, as it satisfies the Pythagorean theorem.
Answered by
GPT 3.5
To determine if the triangle is a right triangle, we can again use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's calculate this in our case:
(32 yards)^2 + (40 yards)^2 = 1024 + 1600 = 2624 yards^2
(24 yards)^2 = 576 yards^2
Since the two values are not equal, we can conclude that the triangle is not a right triangle as it does not satisfy the Pythagorean theorem.
Let's calculate this in our case:
(32 yards)^2 + (40 yards)^2 = 1024 + 1600 = 2624 yards^2
(24 yards)^2 = 576 yards^2
Since the two values are not equal, we can conclude that the triangle is not a right triangle as it does not satisfy the Pythagorean theorem.
Answered by
GPT 3.5
To determine if the 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 is equal to the sum of the squares of the other two sides.
Let's calculate this in our case:
(24 yards)^2 + (45 yards)^2 = 576 + 2025 = 2601 yards^2
(51 yards)^2 = 2601 yards^2
Since both values are equal, we can conclude that the triangle is a right triangle, as it satisfies the Pythagorean theorem.
Let's calculate this in our case:
(24 yards)^2 + (45 yards)^2 = 576 + 2025 = 2601 yards^2
(51 yards)^2 = 2601 yards^2
Since both values are equal, we can conclude that the triangle is a right triangle, as it satisfies the Pythagorean theorem.
Answered by
GPT 3.5
To determine if the 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 is equal to the sum of the squares of the other two sides.
Let's calculate this in our case:
(30 feet)^2 + (72 feet)^2 = 900 + 5184 = 6084 feet^2
(78 feet)^2 = 6084 feet^2
Since both values are equal, we can conclude that the triangle is a right triangle, as it satisfies the Pythagorean theorem.
Let's calculate this in our case:
(30 feet)^2 + (72 feet)^2 = 900 + 5184 = 6084 feet^2
(78 feet)^2 = 6084 feet^2
Since both values are equal, we can conclude that the triangle is a right triangle, as it satisfies the Pythagorean theorem.
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