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1 April, 06:07

How many of these triples could be sides of a right triangle: (27, 36, 45), (12, 17, 20), (24, 32, 40), (14, 48, 50) ?

3 triples

1 triple

2 triples

4 triples

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Answers (1)
  1. 1 April, 09:15
    0
    3 Triples

    Step-by-step explanation:

    To check if it is a right triangle, the sum of the square of the two smaller numbers must be equal to the square of largest number.

    Check (27, 36, 45)

    27² + 36² = 2025

    √2025 = 45

    Therefore, this is a right triangle.

    Check (12,17, 20)

    12² + 17² = 433

    √433 = 20.81

    Therefore, this is NOT a right triangle.

    Check (24, 32, 40)

    24² + 32² = 1600

    √1600 = 40

    Therefore, this is a right triangle.

    Check (14, 48, 50)

    14² + 48² = 2500

    √2500 = 50

    Therefore, this is a right triangle.

    There are 3 triples.
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