Triangle sides to angles

The triangle ABC has side lengths a = 14 cm, b = 20 cm, c = 7.5 cm. Find the sizes of the angles and the area of this triangle.

Correct answer:

S =  37.31 cm2
α =  29.8306 °
β =  134.7142 °
γ =  15.4552 °

Step-by-step explanation:

a=14 cm b=20 cm c=7.5 cm s=2a+b+c=214+20+7.5=483=20.75 cm  S=s (sa) (sb) (sc)=20.75 (20.7514) (20.7520) (20.757.5)=37.31 cm2

Try calculation via our triangle calculator.

k=π180=3.141618057.2958 α=k arccos(2 c bb2+c2a2)=57.2958 arccos(2 7.5 20202+7.52142)=29.8306=29°4950"
β=k arccos(2 a ca2b2+c2)=57.2958 arccos(2 14 7.5142202+7.52)=134.7142=134°4251"
γ=180αβ=18029.8306134.7142=15.4552=15°2719"



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







Tips for related online calculators
Our percentage calculator will help you quickly and easily solve a variety of common percentage-related problems.
Cosine rule uses trigonometric SAS triangle calculator.
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: