A triangle is in the shape of a 30 degrees minus 60 degrees minus 90 degrees right triangle. If the hypotenuse of the outer triangle is 25 ​

Question

A triangle is in the shape of a 30 degrees minus 60 degrees minus 90 degrees right triangle. If the hypotenuse of the outer triangle is 25 ​ft, find the lengths of the legs of the​ triangle, in inches.

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Reagan 3 months 2022-02-16T12:29:48+00:00 1 Answer 0 views 0

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    2022-02-16T12:31:45+00:00

    Answer:

    • 150 inches
    • 260 inches

    Step-by-step explanation:

    The sides of a 30°-60°-90° right triangle have the ratios …

      1 : √3 : 2

    The shortest side is half the length of the hypotenuse, so is …

      (25 ft)(12 in/ft) = 150 in

    The longer side is √3 times that length, so is about …

      (150 in)√3 ≈ 259.808 in

    The legs of the triangle are 150 inches and about 260 inches.

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