1. Pythagorean Theorem
a²+ b²=c²

2. c hypotenuse leg a leg b The right triangle : Contains a right angle
Has two legs; a and b
The side opposite the right angle is the hypotenuse, side c
hypotenuse
leg a
leg b

3. More than 2000 years ago, the Greek mathematician Pythagoras demonstrated the following property of the right triangle, which is called the Pythagorean Theorem.

4. In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides a²+ b²=c²

5. a²+ b²=c² B c a C A b

6. You can add a square to each of the sides of the right triangle
You can add a square to each of the sides of the right triangle. The area of the square on the hypotenuse is equal to the sum of the areas of the squares on the legs. B
Triangle ABC is a right triangle. AC = 4, BC = 3 and AB = 5.
The area of the square on BC = 9.
The area of the square on AC = 16.
The area of the square on hypotenuse AB = 25 5 3 4 A C 2 2 2
= 5