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20 October, 07:08

Given: ΔABC; b = 10; c = 14, and ∠A = 54°. Find the length of side a to the nearest whole number.

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  1. 20 October, 07:24
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    We can solve for the length of side a to the nearest whole number using the Laws of Cosines such as the formula is shown below:

    a²=b²+c²-2bcCosA

    Solving for the value of a, we have:

    a²=10²+14²-2 (10) (14) cos54°

    a²=131.42

    a=11.46

    The answer is 11.46 or 11.5.
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