The above figure shows the 2 triangles formed using the given data.
we have b=12.2 cm , c=8.2 cm and C=30° b=12.2cm,c=8.2cm,and C=30°so by cosine formula, cos(30°)=2aba2+b2−c2
By solving the above equation, we get a2−2a.b.cos(30°)+b2−c2=0 .
After putting the values of b,c and C=30°and solving the quadratic equation, we get the values of a = 16.05 cm and c=5.09 cm. Thus, there are 2 triangles shown above (2 cases).
Comments