Solve each of the following triangles. If there are two triangles, solve both. Round angle measurements to one
decimal place and side lengths to two decimal places. a= 9, b= 4, B= 23°
a=
y=
c=

1 Answers

Best Answer

To find angle A of thiagle whote sides a=9,b=4 and angle B=23°

We trigonometric identify

(sin B)/(b)=(sin A)/(q)-> (sin 23)/(4)=(sin A)/(9)

-> A=61.54°

SO angle C=180-A-B

C=180-61-54-23

C=95.46

Mow to determine side C

(sin C)/(c)/(sin B)/(b)

C=(sinC)/(sin B)xb

C=(sin 95.46)/(sin 23)x4

C=(3.98)/(sin 23)

C=10.19

We trigonometric identify

(sin B)/(b)=(sin A)/(q)-> (sin 23)/(4)=(sin A)/(9)

-> A=61.54°

SO angle C=180-A-B

C=180-61-54-23

C=95.46

Mow to determine side C

(sin C)/(c)/(sin B)/(b)

C=(sinC)/(sin B)xb

C=(sin 95.46)/(sin 23)x4

C=(3.98)/(sin 23)

C=10.19