Determine the number of triangles with the given parts and solve each triangle if
possible. (can someone make sure if I'm doing this correctly)

Question

ThatCreepyBoy · Answer

A = 12, B = 31, α (alpha) = 20.5 degrees

ThatCreepyBoy · Answer

attachment

ThatCreepyBoy · Answer

attachment

ThatCreepyBoy · Answer

attachment

ThatCreepyBoy · Answer

attachment

ThatCreepyBoy · Answer

Since sine is positive in two places, we subtract: 180 - 64.2 = 115.8

ThatCreepyBoy · Answer

Next step: Add both angles to see if a triangle works

ThatCreepyBoy · Answer

attachment

AsianPanda08 · Answer

That's a lot of steps, what math are you doing?

ThatCreepyBoy · Answer

@asianpanda08 wrote:

That's a lot of steps, what math are you doing?

trigonometry :)

elianabany · Answer

oh i remember doing this, i believe that its done correctly

AsianPanda08 · Answer

Ohhh, I never had trigonometry. But i rmb doing this in geometry

elianabany · Answer

i did a bit of trig in geometry

adrianluvvsyouu2 · Answer

This is not trig, this is law of sines

Unless the question states that we are working with right angles.

ThatCreepyBoy · Answer

Yeah it's a lot. There's more steps..

adrianluvvsyouu2 · Answer

@thatcreepyboy wrote:

Yes sine of the corresponding angle divided by its side is equal in a triangle, this is good

ThatCreepyBoy · Answer

@adrianluvvsyouu2 wrote:

This is not trig, this is law of sines Unless the question states that we are working with right angles.

This is indeed trig, law of sines is in trig

adrianluvvsyouu2 · Answer

@thatcreepyboy wrote:

@adrianluvvsyouu2 wrote:

This is not trig, this is law of sines Unless the question states that we are working with right angles.

This is indeed trig, law of sines is in trig

Ah, we were taught this in Geometry You seem to be doing fine though

ThatCreepyBoy · Answer

@adrianluvvsyouu2 wrote:

@thatcreepyboy wrote:

Yes sine of the corresponding angle divided by its side is equal in a triangle, this is good

thank you, im trying to take notes as i go through with it and work out the problem

ThatCreepyBoy · Answer

@adrianluvvsyouu2 wrote:

@thatcreepyboy wrote:

@adrianluvvsyouu2 wrote:

This is not trig, this is law of sines Unless the question states that we are working with right angles.

This is indeed trig, law of sines is in trig

Ah, we were taught this in Geometry You seem to be doing fine though

yeah, there's a lot more questions i have to do to prep for the test

adrianluvvsyouu2 · Answer

@thatcreepyboy wrote:

A = 12, B = 31, α (alpha) = 20.5 degrees

So how many possible triangles did you get for your answer?

ThatCreepyBoy · Answer

@adrianluvvsyouu2 wrote:

@thatcreepyboy wrote:

A = 12, B = 31, α (alpha) = 20.5 degrees

So how many possible triangles did you get for your answer?

I got two

ThatCreepyBoy · Answer

Next step: Use Law of Sines to find the missing side:

ThatCreepyBoy · Answer

attachment

ThatCreepyBoy · Answer

attachment

adrianluvvsyouu2 · Answer

@thatcreepyboy wrote:

@adrianluvvsyouu2 wrote:

@thatcreepyboy wrote:

A = 12, B = 31, α (alpha) = 20.5 degrees

So how many possible triangles did you get for your answer?

I got two

Yeah I also got that, angles were 64.783 degrees and 115.217 degrees

ThatCreepyBoy · Answer

It's correct, i just have to round the answers. I also have to list the rest of them

ThatCreepyBoy · Answer

attachment

ThatCreepyBoy · Answer

attachment

1 attachment

1 attachment

1 attachment

1 attachment

1 attachment

1 attachment

1 attachment

1 attachment

1 attachment