SOLUTION: Consider a triangle ABC like the one below. Suppose that B= 50 C=72 b=17. (The figure is not drawn to scale.) Solve the triangle. (50 and 72 have a degrees symbol on them)

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Question 1160263: Consider a triangle ABC like the one below. Suppose that B= 50 C=72 b=17. (The figure is not drawn to scale.) Solve the triangle.
(50 and 72 have a degrees symbol on them)
Found 3 solutions by josgarithmetic, solver91311, ankor@dixie-net.com:
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website!
Similar to how your other one would be but just different given values. You should first draw the figure according to the given description. Label the parts, setup necessary equations (if needed) and solve.

Sum of interior angles of a triangle is 180 degrees, and therefore you can determine angle measure of angle at point A.

Your turn! Use Law of Sines to find a and c.

Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!

Use the Law of Sines:

You know B and C so you can find A directly by 180 - (B + C). Then you can look up (or use your calculator to find) , , and . Plugin the four numbers you now know and solve for the other two.

John

My calculator said it, I believe it, that settles it

Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website!
Consider a triangle ABC like the one below. Suppose that B= 50 C=72 b=17. (The figure is not drawn to scale.) Solve the triangle.
:
Use the law signs:
find c

Cross multiply
sin(50)*c = 17*sin(72)
.766c = 16.168
c =
c = 21.107 is side c
Find A
180 - 50 - 72 = 58 degrees

sin(50)*a = sin(58)*17
.766a = 14.417
a =
a = 18.821 is side a
:
We have
A = 58 degrees, a = 18.821
B = 50 degrees, b = 17
C = 72 degrees, c = 21.107