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i really need help i dont get it

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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 = 45,    c = 43,    C = 38°
A1 =
    
A2 =
B1 =
    
B2 =
a1 =
    
a2 =

 

asked Feb 13, 2016 in PRECALCULUS by anonymous

1 Answer

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Step 1:

The sides of the triangle are image and image.

The angle of triangle image.

Solve the triangle by using Law of Sines.

Apply law of sines formula: .

Consider image.

Substitute image, image and image in image.

image

The angle image and image.

For both the choices of imageimage.

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 image and image.

image

image.

Substitute image and image in .

image

image.

Step 3:

Find other side.

Consider image.

Substitute image, image and image in image.

image

image.

Step 4:

Consider image.

Substitute image, image and image in image.

image

image.

Solution:

image, image and image.

image, image and image.

answered Feb 13, 2016 by Sammi Mentor

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