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Today, 16:42

If a right triangle has a leg that measures 24 and a hypotenuse that measures 25. what is the length of the other leg?

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Answers (2)
  1. Today, 17:40
    0
    Phytagoras' Theorem states that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs. If c represents the hypotenuse, a and b represent the two leg, the theorem could be written as below.

    c² = a² + b²

    a² + b² = c

    From the question, we could get information that

    c = 25

    a = 24

    and we should find the value of b

    Plug in the numbers to the formula

    a² + b² = c²

    24² + b² = 25²

    576 + b² = 625

    b² = 625 - 576

    b² = 49

    b = √49

    b = 7

    The length of the other leg is 7
  2. Today, 19:41
    0
    Hypotenuse ^2 = leg1 ^2 + leg2 ^2

    25^2 = 24^2 + leg2 ^2

    leg2 ^2 = 25^2-24^2 = 625 - 576=49

    ⇒ leg = V49

    ⇒ leg = 7
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