Welcome :: Homework Help and Answers :: Mathskey.com

Recent Visits

    
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,024 users

can some one please show me how to work this for my home work problem

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 B1 is smaller than B2.)

a = 36,    c = 45,    A = 34°
B1 =
    
B2 =
C1 =
    
C2 =
b1 =
      
b2 =

 

asked Feb 9, 2016 in PRECALCULUS by anonymous

1 Answer

0 votes

Step 1:

The sides of a triangle are  and .

The angle of triangle .

Solve the triangle by using Law of Sines.

Apply law of sines formula: .

Consider .

Substitute , and in .

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 image.

Substitute , image and in image.

image

image

image

image.

Consider image.

Substitute , image and in image.

image

image

image.

Solution:

image, image and image.

image, image and image.

answered Feb 9, 2016 by Sammi Mentor

Related questions

asked Apr 9, 2016 in PRECALCULUS by anonymous
asked Apr 9, 2016 in PRECALCULUS by anonymous
asked Apr 9, 2016 in PRECALCULUS by anonymous
asked Sep 9, 2014 in PRECALCULUS by anonymous
asked Feb 22, 2016 in PRECALCULUS by anonymous
asked Feb 27, 2016 in PRECALCULUS by anonymous
...