Question

Apply the 30°-60°-90° Triangle Theorem to find the length of the longer leg of a triangle if the length of the shorter leg is 5√3 inches.

Answers

  1. Answer:
    15 inches
    Step-by-step explanation:
    The shortcut for finding the side lengths on a 30°-60°-90° triangle is that the long leg is
    the short leg × √3.
    So for your question:
    5√3 × √3
    = 5 × √3 × √3
    = 5 × 3
    = 15
    Just in case it comes up next, the other shortcut is that the hypotenuse is double the short leg. Hypotenuse =
    2 × 5√3 = 10√3

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