Question

Option B: BC = 5 , AC = 6 , sin C = 4/5 . What is the area of triangle ABC ? Show the steps you used .

Answer 1

Answer:

$24$

Step-by-step explanation:

The area of a triangle can be given as $\frac{1}{2}ab\sin C$, where $a$ and $b$ are two sides of a triangle and $C$ is the angle between them.

Substituting $a=6$, $b=5$, and $\sin C=4/5$:

$A=5\cdot 6\cdot \frac{4}{5}=30\cdot \frac{4}{5}=\boxed{24}$