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17 November, 07:42

Parallelogram ABCD has sides of lengths 44mm and 26mm, and one of the angles has a measure of 100 degrees. Approximate the length of diagonal AC to the nearest mm

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  1. 17 November, 08:08
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    In steps

    Step-by-step explanation:

    suppose ∠A = 100° Diagonal AC

    AC² = 44² + 26² + 2 x 44 x 26 x cos 100° = 1936 + 676 - 398 = 2214

    AC = 47 mm

    another diagonal

    BD² = 44² + 26² + 2 x 44 x 26 x cos 80° = 1936 + 676 + 398 = 3010

    AC = 55 mm
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