
Theorem: In a right angled triangle, the square on the hypotenuse is equal to the sum of the squares of the other two sides. If the length of the hypotnuse is c and the lengths of other two sides are b and a then according to the pythogorean theorem: c^{2} = a^{2} + b^{2}
Example: Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of the diagonals.
Directions: Solve the following problems. Also write at least 10 examples of your own. 