What is the total of a triangle's angles on a flat plane?

Can an right triangle be an isosceles triangle? Why or why not?

Can an right triangle be an equilateral triangle? Why or why not?

List the vertices in order from smallest to largest measurement.

List the sides in order from smallest to largest measurement.

What is the range of the possible lengths of the third side of the triangle given that the lengths of the other two sides are 5 inches and 12 inches.

Is it possible to construct a triangle with side lengths of 6, 7, and 11 units? Why or Why not?

Is it possible to construct a triangle with side lengths of 6, 7, and 13 units? Why or Why not?

Explain why the hypotenuse of a right triangle must always be longer than either leg.

You're stringing up lights for an outdoor party. Above is a map of three trees. You've decided that you want lights to string between the trees with one side strung higher for an entrance and a speaker in the tightest corner for the music. You want the widest side to be the entrance side, but you don't have a tape measure. Give at least two ways each to determine the widest side and the tightest corner.