Help please ! In triangle ABC, C is a right angle. If B= 31 degrees and C =14, what are the measures of the remaining sides and angles? round answers to the nearest hundredth.

Question

anonymous · Answer

i think we need a picture
are B and C angles?  that is not possible
maybe one is an angle and one is a side? or are they both sides?  need some more info here

timaashorty · Answer

C= 14 is a side.

C is a right angle.

anonymous · Answer

|dw:1400116427248:dw|

anonymous · Answer

like that?

timaashorty · Answer

I believe so I was just trying to draw it [:

anonymous · Answer

ok let me label a couple things

anonymous · Answer

|dw:1400116520255:dw|

anonymous · Answer

then $$\sin(31)=\frac{b}{14}$$ so 
$$b=14\sin(31)$$you will need a calculator to compute that

anonymous · Answer

also 
$$\cos(31)=\frac{a}{14}$$so 
$$a=14\cos(31)$$ again a calculator

timaashorty · Answer

So both A and B will equall = 12?

timaashorty · Answer

oops is see my mistake lol

anonymous · Answer

not likely no

timaashorty · Answer

b= 7.2
a= 12

anonymous · Answer

$$14\sin(31)=7.2$$ about http://www.wolframalpha.com/input/?i=14sin%2831%29

anonymous · Answer

yeah that looks good
$$b=7.2,a=12$$

timaashorty · Answer

So those are the sides? how would I do the angles?

timaashorty · Answer

There's still one more step.. How do I find Angle A @sattellite73?

anonymous · Answer

the angle of any right triangle have to add up to 180

anonymous · Answer

i meant ANY TRIANGLE (doesn’t have to be a right triangle)

timaashorty · Answer

180- 90 - 31 ?

anonymous · Answer

to find your missing angle, compute 
$$180-90-31$$

anonymous · Answer

yup

timaashorty · Answer

59 degrees. Thank you [:!

anonymous · Answer

yw