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3 July, 17:00

Triangle ABC is a right triangle. The legs of the triangle are AB = 6 cm and BC = 12 cm. Find the measure of angle A.

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  1. 3 July, 17:25
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    63.4°

    Step-by-step explanation:

    Given that AB and BC are the legs of the right triangle, then opposite to angle A is side BC and adjacent to angle A is side AB.

    By definition, the tangent of angle A is:

    tan (∠A) = opposite leg / adjacent leg

    tan (∠A) = BC/AB

    tan (∠A) = 12/6

    ∠A = arctan (2)

    ∠A = 63.4°
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