Will fan and medal Solve the triangle.

A = 32°, a = 19, b = 14

Question

Will fan and medal Solve the triangle. 

A = 32°, a = 19, b = 14

anonymous · Answer

B is 23 degrees

anonymous · Answer

@nincompoop @TheSmartOne @iGreen @radar @Compassionate @SolomonZelman @amistre64

campbell_st · Answer

looks like the rule of sines...

anonymous · Answer

Can you work me through it I honestly do not know

anonymous · Answer

@campbell_st

radar · Answer

The easy part will be to solve for angle C, since you know that the three angles total 180 degrees, and you already know 2 of them.

campbell_st · Answer

draw a diagram |dw:1418778150733:dw|

anonymous · Answer

I only know B

anonymous · Answer

125?

radar · Answer

You say that angle A is 32 degrees.

anonymous · Answer

Oh yea

radar · Answer

Then you say Angle B is 23 degrees.

campbell_st · Answer

find C using angle sum of a triangle|dw:1418778238445:dw|

then its the law of cosines to find c

$$c^2 = a^2 + b^2 - 2ab \cos(C)$$

anonymous · Answer

so then how do i get little c

radar · Answer

I would us Law of Sines as suggest by campbell_st in the first post.

radar · Answer

Have you solved for angle C yet?

anonymous · Answer

39 is what I got

radar · Answer

39 + 23 + 32 does not equal 180 degrees.

anonymous · Answer

125 ops

radar · Answer

It is going to be larger than 90 degrees.

anonymous · Answer

125

campbell_st · Answer

that's correct for C

now use the law of cosines

radar · Answer

Yes, now you know that Law of Sinces

Sine 125/ c = Sine 32/19

anonymous · Answer

29.4 is little c

radar · Answer

|dw:1418778659454:dw|