ab=25.9, ac=14.2, and bc= 21.5. What is A
We can use the Law of Cosines to solve this.
21.5^2 = 14.2^2 + 25.9^2 - 2(25.9)(14.2)cosA
cos A = [21.5^2 - 14.2^2 - 25.9^2] / [ -2(25.9)(14.2)]
And using the cosine inverse, we have
arccos [ 21.5^2 - 14.2^2 - 25.9^2] / [ -2(25.9)(14.2)] = A = about 56.105°