Bob says that he can find the area of the triangle below using the formula: A = (1)/(2) * 8 *18 * sin (120°). Is he correct? Explain why or why not.

Question

Bob says that he can find the area of the triangle below using the formula: A =
`(1)/(2)` * 8 *18 * sin (120°). Is he correct? Explain why or why not.

Answer 1

No.

Explanation:

No, Bob is not correct.

The formula he's using is the following:

`A=(1)/(2) ab\sin(C)`

The important thing here is that the angle is between the two sides.

In the given triangle, 120 is not between 8 and 18. Therefore, using this formula will not be valid.

Either Bob needs to find the other side first or find the angle between 8 and 18.