Euclidean Plane

A

akm3012

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Can someone help me solve this question

Let ABC be a triangle in a Euclidean plane. Suppose that |AB| = 3,
|AC| = 2, AngleB = 30. What are the two possible values of AngleA? In each of
the two cases, determine also AngleC. (Give the answers in degrees, correct to
the nearest integer.)
 
akm3012 said:
Can someone help me solve this question

Let ABC be a triangle in a Euclidean plane. Suppose that |AB| = 3,
|AC| = 2, AngleB = 30. What are the two possible values of AngleA? In each of
the two cases, determine also AngleC. (Give the answers in degrees, correct to
the nearest integer.)
Click to expand...

Draw a sketch first.

draw line AB and locate the points A and B (|AB| = 3).

Now draw a line l - starting from point B, at an angle 30° to AB.

Now if you draw a circle - with center at A and radius = 2 -- this circle will intersect the line l at two points (C' & C").

These are the two possible locations for point C.

What laws do you know about triangles that you can apply here?
 
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