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

`24`

Explanation:

The area of a triangle can be given as
`(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 (4)/(5)=30\cdot (4)/(5)=\boxed{24}`