Question

How do you determine whether `triangle ABC` has no, one, or two solutions given `A=60^circ, a=15, b=24`?

Answer 1

No solution.

Explanation:

`hatA = 60^@, a = 15, b = 24`

`a / sin A = b / sin B = c / sin C`

`sin B = (b sin A) / a = (24 * sin 60) / 15 = 1.3856`

Since `sin B` cannot have more than value 1, `Delta ABC` has no solution.