Question

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

Answer 1

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=(5)/(7)\implies\angle B\approx\boxed{44.4^\circ}.`