To find the length of side AB, we can use the Law of Sines.
First, we need to find the measure of angle C. Since the sum of the angles in a triangle is 180 degrees, we have:
A + B + C = 180 degrees
37 + 63 + C = 180
100 + C = 180
C = 180 - 100
C = 80 degrees
Now we can use the Law of Sines:
sin A / BC = sin B / AC = sin C / AB
sin 37 / 14 = sin 63 / AC = sin 80 / AB
We can solve for AC first:
sin 63 = AC / 14
AC = 14 * sin 63
AC ≈ 12.6 inches
Now we can solve for AB:
sin 80 = AB / 12.6
AB = 12.6 * sin 80
AB ≈ 12.3 inches
Therefore, AB is approximately 12.3 inches to the nearest tenth.
In triangle ABC, measure angle A equals 37 degrees, measure angle B equals 63 degrees and BC equals 14 inches What is AB to the nearest tenth?
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