Pythagorean Theorem

State the converse. (words)

If a triangle has sides of lengths, a, b and c and a^2 + b^2 = c^2, then the triangle is a right triangle with hypotenuse of length c.

State the theorem. (words)

In any right triangle, the sum of the squares of the lengths of the legs is equal to the square of the lengths of the hypotenuse.

Do these three side lengths create a right? 6, 17, 19

No

Who created this theorem?

Pythagoras

What's the Pythagorean Theorem? (formula)

a^2 +b^2 = c^2

Find the missing side length (a/b)? a = 6, c = 10

b = 8

Why do we square sides "a" and "b"?

because we are trying to find the area

Find the missing side length (c)? a = 9, b =40

c = 41

What is the longest side of the triangle?

hypotenuse

What is the side diagonal from the right angle?

hypotenuse

Given three side lengths how can you tell if it is a right triangle?

legs

What do you call the sides of a right triangle?

legs

What type of triangle can you use the theorem on?

right triangles

How do you find the hypotenuse? (in words)

square both legs and add them together and square root your answer

What is the opposite of squaring a number?

square root