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22 May, 20:16

In a right triangle, the hypotenuse is 5 units long, and the legs also have integer lengths. How long are the legs?

Note:How many different cases are there?

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Answers (2)
  1. 22 May, 20:45
    0
    A^2 + b^2 = c^2 for a right triangle

    c=5 so a^2 + b^2 = 5^2 = 25

    a n b are integers

    a n b must be < 5 cuz' hypotenuse is the longest

    so a n b can only be 2 cases: 3,4 or 4,3
  2. 22 May, 22:10
    0
    5^2 = a^2 + b^2

    25 = a^2 + b^2

    the other sides need to be shorter than 5 so plug them and and see what works:

    25 = 4^2 + 4^2 = 25 = 16+16 = 25 = 32 false

    25 = 4^2 + 3^2 = 16+9 = 25, 25 = 25 True

    the only one that works would be sides of 3 and 4 units long
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