Area and two angles

Calculate the size of all sides and internal angles of a triangle ABC, if it is given by area S = 501.9; and two internal angles α = 15°28' and β = 45°.

Correct answer:

C =  119.5333 °
a =  20.8592
b =  55.309
c =  68.0557

Step-by-step explanation:

A=15+6028=1523215.4667  B=45  C=180AB=18015.466745=151793=119.5333=119°32

Try calculation via our triangle calculator.

S=501.9 a=k u b=k v c=k w  w=1 u:w=sinA:sinC u=w sin(A)/sin(C)=1 sin(15.4667°)/sin(119.5333°)0.3065  v:w=sinB:sinC v=w sin(B)/sin(C)=1 sin(45°)/sin(119.5333°)0.8127  s=(u+v+w)/2=(0.3065+0.8127+1)/21.0596 T=s (su) (sv) (sw)=1.0596 (1.05960.3065) (1.05960.8127) (1.05961)0.1084 k=S/T=501.9/0.108468.0557 a=k u=68.0557 0.3065=20.8592
b=k v=68.0557 0.8127=55.309
c=k w=68.0557 1



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
See also our trigonometric triangle calculator.

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


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

Related math problems and questions: