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2 May, 12:44

In a 30-60-90 triangle, the length of the hypotenuse is 30. Find the length of the shorter leg

A. 15

B. 10 square root of 3

C. 15 square root of 2

D. 15 square root of 3

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Answers (1)
  1. 2 May, 14:14
    0
    Option A is right

    Step-by-step explanation:

    Given is a triangle (right angled) with other degrees as 30 and 60.

    The length of hypotenuse = 30

    We have to find the length of shorter leg.

    We know that in a 30-60-90 triangle, the length of shorter side is always half the length of the hyptenuse.

    In 30-60-90 triangle, opposite side of smaller angle/hypotenuse = 1/2

    Using the above we get

    the shorter side = 1/2 (hypotenuse) = 1/2 (30) = 15

    Hence answer is 15
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