Question

A triangle has sides A, B, and C. Sides A and B have lengths of 6 and 7, respectively. The angle between A and C is `(17pi)/24` and the angle between B and C is `(pi)/24`. What is the area of the triangle?

Answer 1

`color(red)("Since the given measurements ") color(maroon)(" do not satisfy the Sine Law"), color(red)(" we cannot form a triangle."`

Explanation:

`hat A = pi/24, a = 6, hat B = (17pi)/24, b = 7, " To find the area of " Delta`

According to Law of Sines, `a / sin A = b / sin B`

`a / sin A = 6 / sin (pi/24) = 8.49`

`b / sin B = 7 / sin ((17pi)/24) = 8.82`

Since the given measurements do not satisfy the Sine Law, we cannot form a triangle.