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

Question

Mathematics

Maya Hale

19 October, 05:11

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

+5

Answers (1)

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Rodney Reid · Answer 1

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.