For each set of sides of a triangle, determine if the triangle is acute, obtuse, or right by applying the Converse of the Pythagorean Theorem. 6, 8, 12

3.5, 4.5, 5.5

10, 24, 26

For each set of two sides of a right triangle, determine the length of the third side. Leave the solution in the simplest radical form. (Simplify the square roots)

Solve for x.
A=4
B=4
C=x
Solve for z.
A=z
B=6
C=8

It is spring and the geese are flying back north to cover our practice fields. One gaggle of geese flew 200 miles due east before they realized their mistake. They then turned and flew 500 miles due north. Use the Pythagorean theorem to find how far they traveled diagonally from their original position.