223k views
4 votes
Solve the triangle given two angles and one side.

Solve the triangle given two angles and one side.-example-1

1 Answer

7 votes

Answer:

a = 102.05

b = 393.76

B = 93°

Explanation:

The law of sines tells you ...

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

Since the sum of angles in a triangle is 180°, angle B must be ...

B = 180° -72° -15° = 93°

and the unknown sides must be ...

a = c/sin(C)·sin(A) = 375·sin(15°)/sin(72°) ≈ 102.05192

B = 93°

b = 375·sin(93°)/sin(72°) ≈ 393.75796

_____

The rounding requirement got cut out of your picture, so we can't help you with that.

User Gcarvelli
by
5.3k points