Triangle sides

Calculate the size of the sides and angles of the triangle ABC if you know vc = 28, α = 51°19', β = 67°38'.

Final Answer:

a =  30.2779
b =  35.8693
c =  33.9406
γ =  61.05 °

Step-by-step explanation:

h=28 α=51°19=51°+6019°=51.3167°51.3167 β=67°38=67°+6038°=67.6333°67.6333  h = a   sin β a=h/sinβ=h/sin67.633333333333° =28/sin67.633333333333° =28/0.924768=30.278=30.2779
b=h/sinα=h/sin51.316666666667° =28/sin51.316666666667° =28/0.780612=35.869=35.8693
c1=b2h2=35.8693228222.4189 c2=a2h2=30.2779228211.5217 c=c1+c2=22.4189+11.5217=33.9406
α+β+γ=180   γ=180(β+α)=180(67.6333+51.3167)=61.05=61°3

Try calculation via our triangle calculator.




Help us improve! If you spot a mistake, please let let us know. Thank you!







Tips for related online calculators
See also our right triangle calculator.
Do you want to convert time units like minutes to seconds?
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.

You need to know the following knowledge to solve this word math problem:

arithmeticplanimetrygoniometry and trigonometryUnits of physical quantitiesGrade of the word problem

 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: