in the right triangle ABC mc=90, a=4, and sinA=1/2. what is the length of the hypotenuse?

Question

in the right triangle ABC mc=90, a=4, and sinA=1/2. what is the length of the hypotenuse?

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Thu Nguyệt 3 years 2021-09-02T23:08:42+00:00 1 Answers 3 views 0

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    2021-09-02T23:10:39+00:00

    Answer:

    The length of the hypotenuse is 8 units

    Step-by-step explanation:

    Recall the notation SOH CAH TOA. This means that in  aright angled triangle,

    Sin A = a/c where a is the length of the opposite side and c is the length of the hypotenuse.

    Given that sinA=1/2 and a = 4, the hypotenuse c

    sin A = 4/c

    1/2 = 4/c

    cross multiply

    c * 1 = 4 * 2

    c = 8 units

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