Solve ΔABC. (Round your answers to two decimal places. If there is no solution, enter NO SOLUTION.)

Question

Solve ΔABC. (Round your answers to two decimal places. If there is no solution, enter NO SOLUTION.)

𝛼 = 43.19°,    a = 5.01,    b = 6.14

smaller c:

c =
𝛽 =	°
𝛾 =	°

larger c:

c =
𝛽 =	°
𝛾 =	°

Answer 1

First remember that 2 sides and an angle not included between them will NOT ALWAYS determine a triangle!

Use the rule of sines to get beta.

Then get angle delta by subtraction of alpha and beta from 180.

Then you can use either the law of sines or the law of cosines to get side c.

I will not due the arithmetic for you...you should be able to handle that.

BUT don't be fooled by the numbers...

You will need to be sure that the sides will form a triangle (the sum of any 2 sides is always greater than the third side!)