# If sides A and B of a triangle have lengths of 3 and 4 respectively, and the angle between them is (7pi)/8, then what is the area of the triangle?

color(crimson)(Area = 2.3 " sq units"
a = 3, b = 4, hat C = (7pi)/8, Area = ?
$A r e a = \left(\frac{1}{2}\right) \cdot a \cdot b \cdot \sin C$
$\implies \left(\frac{1}{2}\right) \cdot 3 \cdot 4 \cdot \sin \left(\frac{7 \pi}{8}\right) = 2.3 \text{ sq units}$