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i really need help i dont know how to slove this home work please help

0 votes

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that A1 is smaller than A2.)

b = 46,    c = 44,    C = 31°
A1 =
°     
A2 =
°
B1 =
°     
B2 =
°
a1 =
    
a2 =

 

asked Feb 14, 2016 in PRECALCULUS by anonymous

1 Answer

0 votes
Step 1:
The sides of the triangle are  and .

The angle of triangle .

Solve the triangle by using Law of Sines.

Apply law of sines formula: .

Consider .

Substitute  and  in .

image

image

image

image.

The angle image and image.

For both the choices of .

Therefore, two choices satisfies the condition of triangles.

There exists two triangles with these measurements.

Step 2:

The sum of three angles in a triangle is .

Substitute  and image.

image

image.

Substitute  and image in .

image

image.

Step 3:

Find other side.

Consider .

Substitute  and image in .

image

Step 4:

Consider .

Substitute  and image in .

image

Solution:

imageimage and image.

imageimage and image.

answered Feb 15, 2016 by cameron Mentor

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