Question

FIND THE SMALLEST ANGLE IN THE TRIANGLE! PLEASE HELP!! 25 POINTS!!

Answer 1

Answer:

Smallest Angle in the triangle is angle c.

Answer 2

From the side/angle inequality, we see that the smallest angle of a triangle must be opposite its shortest side. In this case, that angle is opposite the shortest side $\overline{AC},$ so our answer is $\boxed{\angle B}.$

As for finding its measure (which I'm aware the question probably didn't ask for), we can use the law of cosines:

$5^2=6^2+7^2-2(6)(7)\cos B$

$\cos B=\frac{5}{7}\implies\angle B\approx\boxed{44.4^\circ}.$