Question

How many solutions does a triangle with values a=22, A= 117 degrees, and b=34 have? Write your answer in numeric form

Answer 1

The answer to this would be “None” or “0“.

The explanation to this is that the 3 angles in a triangle must sum up to 180 degrees.

Given that angle A is 117 degrees opposite to side a of 22 units, therefore angle B must be greater than 117 degrees since it is opposite to side b of 34 units. The bigger the length of the side, the bigger is the angle opposite to it.

Assuming angle B is 118 degrees (the minimum it can have since it must be bigger than angle A):

sum of 2 angles = 117 degrees + 118 degrees

sum of 2 angles = 235 degrees              (Cannot be)