How many triangles are possible given m∠C = 63°, b = 9, c = 12?

1 Answer
Mar 26, 2018

Only one triangle possible with following measurements.

ˆA=75.06,ˆB=41.94,ˆC=63

a=13.01,b=9,c=12

Explanation:

Given : b=9,c=12,ˆC=63

Applying Law of Sines,

asinA=bsinB=csinC

sinB=bsinCc=9sin6312=0.6683

ˆB=sin1(0.6683)=41.94

ˆA=18041.9463=75.06

a = (c * sin A) / sin C = (12 * sin 75.06) / sin 63 = 13.01#

Only one triangle possible with following measurements.

ˆA=75.06,ˆB=41.94,ˆC=63

a=13.01,b=9,c=12