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15 January, 11:20

If the hypotenuse of a right triangle is 2 sqrt 3 units long and one legs is sqrt 3 units long, how long is the other leg?

a. 3

b. 2 sqrt 3

c. sqrt 3

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Answers (1)
  1. 15 January, 11:29
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    Theorem of Pythagoras: a²+b²=c², where a, b is legs and c is hypotenuse.

    We've got one leg known, let it be a=sqrt 3,

    and the hypotenuse - c=2sqrt3

    Putting these into the theorem, we get an equation: (sqrt3) ²+b² = (2sqrt3) ². Solving it, we get:

    3+b²=4*3

    3+b²=12

    b²=9

    This equation has two possible roots: b=3 and b=-3. Since this is a triangle, there can't be a side with a negative value = > b=3.

    The answer is a. 3
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