Question

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.

B = 29°, b = 26, c = 28

A = 92.5°, C = 58.5°, a = 53.6; A = 87.5°, C = 121.5°, a = 53.6

A = 92.5°, C = 58.5°, a = 12.6; A = 87.5°, C = 121.5°, a = 12.6

A = 119.5°, C = 31.5°, a = 46.7; A = 2.5°, C = 148.5°, a = 2.3

A = 119.5°, C = 31.5°, a = 14.5; A = 2.5°, C = 148.5°, a = 14.5

Answer 1

Set up the equation for law of sines,

sin29/26 = sinC/28 to find the angle of C.

Answer 2

After you find the angle of C, you can subtract the angles of C and B by 180 to find the angle of A.

Answer 3

okay give me a sec

Answer 4

Once you find the angle of A then use law of sines again to find the side of angle A by plugging it in.

Answer 5

im so lost lol

Answer 6

Alright give me a few seconds.

Answer 7

First triangle.

Answer 8

We want to now find the angle of c since we are given it's side.

So let's set up our equation.

sin29/26 = sinc/28

When we solve we get 31.47 for the angle of c.

Now we subtract that number by 180 and the angle of b to find the angle of a.

So angle a = 119.5.

Answer 9

Now we use law of sines again to find the side of a.

We can use either the side and angle of B or C to solve for A. But since we know both the angle and side of B let's just use that instead.

sin119.52/sidea = sin29/26

So our answer for the side of a is 46.

Answer 10

Therefore;
angle C = 31.47
angle A = 119.5
side a = 46

Answer 11

theres no choice for a=46

Answer 12

A = 119.5°, C = 31.5°, a = 46.7; A = 2.5°, C = 148.5°, a = 2.3

Answer 13

46.67656571 is what I got on my calculator.

Answer 14

oh okay thank you so much !!!!!

Answer 15

Anytime.