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Determine whether the given information results in one triangle, two triangles, or no triangle at all.

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Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results.

a = 3,    b = 2,     A = 50o

asked Jan 29, 2015 in PRECALCULUS by anonymous

1 Answer

0 votes

Step 1:

The sides of a triangle are and .

The angle of triangle .

To solve the triangle, use Law of Sines.

Using law of sines formula  .

Step 2:

Consider .

Substitute , and in sine formula.

The angle image.

 image.

Therefore, image is satisfies.

The given information results in one triangle.

Step 3:

The sum of three angles in a triangle,

image

To find other side, by using law of sines formula .
Consider .

Substitute , and in sine formula.

image

Solution:

The given information results one triangle.

The triangle side is  image

The angles of triangle are image

answered Jan 29, 2015 by james Pupil
edited Jan 29, 2015 by yamin_math

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