Question

Help please!!!
Solve the triangle,if possible.Round to the nearest hundredth
B=52.8 degree
C=114.6 degree
b=10.13

Answer 1

In this problem, two of the three angles of the triangle are given. What have you learned about the SUM of the interior angles of any triangle?
Add angles B and C together.
Then subtract this sum from 180 degrees (why?)

Answer 2

to get A

Answer 3

180-114.6-52.8=12.6
A=12.6

Answer 4

Great! Now you have a triangle with three known angles and one known side.
Which Law would be appropriate to use to determine each of the unknown sides,
(a) the Law of Cosines, or
(b) the Law of Sines?

Answer 5

sin

Answer 6

i'll use sin52.8/10.13 =a/sin12.6
right

Answer 7

Right. Want to give it a try? sin A/a = sin B/b = sin C/c

Answer 8

sin52.8/10.13=sin12.6/a

Answer 9

what i have to do first

Answer 10

Here you have an equation involving two ratios:

sin 52.8 sin 12.6
________ = _________
10.13 a

(It's easier to work with in this form.)

I'd suggest you cross multiply. Then solve for a. Do the same to find side c, except use C = 114.6.

Answer 11

If you use a calculator, be sure to set it to DEGREE mode first.

Answer 12

i know

Answer 13

i got for
a=2.77
c=11.56

Answer 14

I haven't calculated those myself, but certainly would say that your results look very reasonable. Congrats! Any further questions?

Answer 15

:)
Thank you for your time

Answer 16

My great pleasure. All the best to you.

Answer 17

you too