Essential Question: What is the Pythagorean Theorem and what is it used for? PythagoreanPa-THAG- oh- REE-an.

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Essential Question: What is the Pythagorean Theorem and what is it used for? PythagoreanPa-THAG- oh- REE-an

Interesting Stuff To Know The Pythagorean theorem was named for Greek mathematician Pythagoras, who lived in 570 BC to 495 BC In math, a theorem is a statement that has been proven to be true It is necessary to know how to find a square root in order to use the Pythagorean theorem

The P-theorem is used to find the unknown side of a RIGHT TRIANGLE Is this a right triangle? How do we know? Yes, it has the right angle box.

The sides of a right triangle must be labeled The hypotenuse is the slanted side of the right triangle

Before we learn to use the P-Theorem, we need to know how to recognize SQUARE ROOTS

For the last step in solving, you will see something like this: Work straight down

Your turn

REMEMBER: The P-theorem is used to find the unknown side of a RIGHT TRIANGLE

THE FORMULA

Example: Find the value of the missing side Use the formula Simplify the LEFT side Find square root of EACH SIDE

Example: Find the value of the missing side Use the formula Simplify the LEFT side Find square root of EACH SIDE

Example: Find the value of the missing side Use the formula Simplify the LEFT side Find square root of EACH SIDE

HOMEWORK: Copy these bases and heights. Then use the Pythagorean Theorem to find the missing hypotenuse.

ANSWERS