Assume this diagram is such that b = 4 and

Question

Assume this diagram is such that b = 4 and <A=30 degrees. if a=2, how many triangles are possible?

anonymous · Answer

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anonymous · Answer

@Hero

hero · Answer

Use law of sines to help you

$$\frac{\sin A}{a} = \frac{\sin B}{b}$$

hero · Answer

Insert the given values. Let $\sin B = x$

$$\frac{\sin 30}{2} = \frac{x}{4}$$

hero · Answer

Solve for x, Then find Angle B

hero · Answer

Make sure Angle B + Angle A is less than 180

ranga · Answer

|dw:1399339109169:dw|
If you drop a perpendicular from C to the horizontal base what would be the length of CB?  CB = AC * sin(30) = ?
That will help answer the question.

hero · Answer

If Angle A + Angle B is greater than 180, then you only have 1 triangle. If Angle A + Angle is less than 180, then you have two triangles.