Given:
Length of side b = 24, c = 29, B = 46 degree.
To find:
Determine the number of triangles ABC possible with the given parts.
Step-by-step explanation:
Ingeneral, if the given angle is opposite the shorter of the two given sides.
There will be 0 or 2 possible triangles.
Solution:
There will be zero possible triangles if the ratio of sides is less than the sine of the angle. Here, 24/29 =0.8276, sin 46 = 0.7193. The ratio of sides is greater, so
there are two possible triangles.
If the given angle is opposite the longer of the two given sides. There is one possible triangle. The same is true if the given angle is between the two given sides.
Hence, this is the required solution.