In class, I used the Pythagorean Theorem to find the missing angle (hypotenuse) of a right triangle. The Pythagorean Theorem required knowing the lengths of sides a and b, in order to figure out the missing side length. The equation I used was 'a squared times 'b squared equals 'c squared.

2.Using the Pythagorean Theorem to derive the Distance Formula

In order to get the distance formula, I had to use the law of Cosines, (an extension of the Pythagorean Theorem). The equation given in class for the triangle was C2 = (x1 - x2)2 + (y - yc)2

C2 = (a - b cos0) 2 + (o - b Sin0) 2

= (a - b cos0)2 + (b sin0)2

3. Using the Distance Formula to derive the equation of a circle centered at the origin of a Cartesian coordinate plane