How do I Solve for ΔABC?

Question

Solve ΔABC. (Round your answers for b and c to one decimal place. Round your answer for γ to the nearest 10 minutes. If there is no solution, enter NO SOLUTION.)

α = 21°40',      β = 79°10',      a = 32.7

γ	=	°  '
b	=
c	=

Answer 1

Try the law of Sines

Let

alpha = angle A

beta = angle B

gamma = angle C

a/sin A = b/sin B =c/sin C

Looks like 32.7 is the measure of the side opposite alpha

To find angle C in your triangle 180 -(21.4 + 79.1) = 79.5°

Then just plug in the numbers, cross multiply to solve for the missing side

Give it a try.