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

Question

Mathematics

Darien Sexton

27 May, 06:21

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

+1

Answers (1)

Know the Answer?

Joel Nash · 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.