The Cosine Rule relates the lengths of the sides of a triangle to the cosine of one of its angles.
For a triangle with sides a,b,c and angles A,B,C opposite to those sides respectively:
To find a side:
a2=b2+c2−2bccos(A)
b2=a2+c2−2accos(B)
c2=a2+b2−2abcos(C)
To find an angle:
cos(A)=2bcb2+c2−a2
cos(B)=2aca2+c2−b2
cos(C)=2aba2+b2−c2
The Cosine Rule formula is a2=b2+c2−2bccos(A).
Send me the next one 📸