An acute angle of a right triangle measures 30°, and the length of the triangle’s hypotenuse is 10 ft. Find the missing angle measure and si

Question

An acute angle of a right triangle measures 30°, and the length of the triangle’s hypotenuse is 10 ft. Find the missing angle measure and side lengths.

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Thu Nguyệt 2 months 2021-07-22T16:43:25+00:00 1 Answers 5 views 0

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    2021-07-22T16:45:18+00:00

    Answer:

    missing angle <60 and side lengths 5, 5\sqrt{3}

    Step-by-step explanation:

    we understand from the given information that  the triangle in question is a special right triangle

    and since this is a special triangle the side lengths follows :

    the side length that sees <90 is represented by 2x

    the side length that sees <60 is represented by x\sqrt{3}

    and the side length that sees <30 is represented by x

    2x = 10 so x = 5 and  x\sqrt{3} = 5\sqrt{3}

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