How do you solve the triangle given A=68, a=3, b=5?

1 Answer
Feb 25, 2018

With the given measurements, a triangle cannot be constructed.

There is a flaw in the given measurements.

Explanation:

Given #hatA = 68, a = 3, b = 5#

To find #hat B, hatC, c#

Applying law of sines,

#a / sin A = b / sin B = c / sin C#

#sin B = (b * sin A) / a = (5 * sin 68) / 3 = 1.5453#

#sin theta# can not have a value more than 1.

Hence, with the given measurements, a triangle cannot be constructed.