Question

Triangle ABC has side lengths: √6, √2, and 2√2 units.

The measures of the angles of the triangle would be...

If the base of the triangle has a length of √6 then the measure of the base angle is...

Answer 1

\[\left(2 \sqrt{2}\right)^2=\sqrt{2}^2+\sqrt{6}^2 \] 8 = 8
So the triangle is a right triangle.
Use the Sine Law or trigonometry to calculate one of the acute angles.
The other acute angle is 90 degrees or Pi/2 radians minus the first acute angle.