AB = 5 Angle B = 45 degrees Angle C = 60 Find the angle A, BC, AC.

We find out what value the angle A will equal if from the condition of our problem we know for sure that the other two angles are equal to 45 ° and 60 °:

180 – (45 + 60) = 75.

Let us find out what value the AC side will equal if from the condition of our problem we know for sure that AB is equal to 5:

sin 60 ° / AB = sin 45 ° / AC;

AC = 5 * √2 / 2: √3 / 2 = 5√2 / √3.

Let’s find out what value will be equal to the side of the aircraft:

sin 60 ° / AB = sin 75 ° / AC;

BC = 5 * 0.9659: √3 / 2 = 9.659 / √3.

Answer: Angle A is 75 °, AC side is 5√2 / √3, BC side = 9.659 / √3.