Find sides a and c of the triangle given all the angles - Trigonometry triangle formulas!

[@panlomito]

I constructed a perpendicular line from C to AB with length x and AB = c1 + c2 x = sin 50° . 27 ~ 20.68 c1 = cos 50° . 27 ~ 17.36 and c2 = x / tan 50° ~ 38.89 so c ~ 17.36 + 38.89 = 56.25 a = x / sin 28° ~ 44.06

[@frederickpell5254]

Rather than cross-multiplying, multiplying both side by the denominator of the left hand side yields an expression for a.

[@charlesmitchell5841]

Good review.

[@russelllomando8460]

nice to many decades (6) to remember the Laws thanks for the lesson

[@newsnowriversidesgtrock]

@panlomito 1 day ago I constructed a perpendicular line from C to AB with length x and AB = c1 + c2 x = sin 50° . 27 ~ 20.68 c1 = cos 50° . 27 ~ 17.36 and c2 = x / tan 50° ~ 38.89 so c ~ 17.36 + 38.89 = 56.25 a = x / sin 28° ~ 44.06 He stole my thunder. He did it correct before I viewed the entire video. ( I did do it just to make sure that he did it correctly)👍

[@mauriziograndi1750]

I forgot the law of sin and cos but I think with 3 angles given is very easy, looking now for the book.