Question

How many triangles are possible given m∠B = 35°, a = 24, b = 6?

Answer 1

`color(red)("Since sin theta can have a value between -1 and 1, triangle cannot exist with the given measurements"`

Explanation:

`hat B = 35@, a = 24, b = 6`

`"As per Law of Sines", a / sin A = b / sin B = c / sin C`

`sin A = (a * sin B) / b = (24 * sin 35) / 6 = 2.2943`

`color(red)("Since sin theta can have a value between -1 and 1, triangle cannot exist with the given measurements"`