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

1 Answer
May 6, 2018

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"