The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. An example is provided to demonstrate calculating the length of one side of a right triangle using the Pythagorean theorem. The distance formula is introduced as a way to calculate the distance between two points on a coordinate plane by taking the difference of the x-coordinates and y-coordinates and using the Pythagorean theorem. An example calculation using the distance formula between two points is shown.

1. The Pythagorean theorem & The
Distance Formula
By: Royce Grant

2. The Pythagorean theorem
• A2 + B2 = C2 The variables that are
here represent the numbers on
the sides of the triangle but side C
is always the hypotenuse . You
always have to use a right triangle.

3. Pythagorean Example
12
b
3
9 + b2 =144
-9 -9
B2 = 135
B=12

4. Distance Formula
The distance formula is a
formula that let’s you
find the point in the y-
axis and the x-axis
minus both X from
each other then minus
both Y from each
other. Then perform
the Pythagorean
theorem .

5. Distance formula example (11,2) (7,5)
c= (11-7)2 + (2-5)2
42 + -32
16+ 9
25
5