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?

Question

2163 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-08T01:49:59

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

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

![https://www.teacherspayteachers.com/Product/Law-of-Sine-and-Law-of-Cosine-Foldable-For-Oblique-Triangles-716112]( useruploads.socratic.org )

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.

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(17pi)/24 and the angle between B and C is (pi)/24 (pi)/24. What is the area of the triangle?