How do I use the Pythagorean Theorem to solve problems?

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Presentation transcript:

How do I use the Pythagorean Theorem to solve problems?

We call it a right triangle because it contains a right angle. How do I use the Pythagorean Theorem to solve problems?

The measure of a right angle is 90 o 90 o How do I use the Pythagorean Theorem to solve problems?

The little square 90 o in the angle tells you it is a right angle. How do I use the Pythagorean Theorem to solve problems?

Pythagorus realized that if you have a right triangle, How do I use the Pythagorean Theorem to solve problems?

and you square the lengths of the two sides that make up the right angle, How do I use the Pythagorean Theorem to solve problems?

and add them together, How do I use the Pythagorean Theorem to solve problems?

you get the same number you would get by squaring the other side How do I use the Pythagorean Theorem to solve problems?

Is that correct? ? ? How do I use the Pythagorean Theorem to solve problems?

It is. And it is true for any right triangle How do I use the Pythagorean Theorem to solve problems?

The two sides which come together in a right angle are called How do I use the Pythagorean Theorem to solve problems?

The lengths of the legs are usually called a and b. a b How do I use the Pythagorean Theorem to solve problems?

The side across from the right angle a b is called the How do I use the Pythagorean Theorem to solve problems?

And the length of the hypotenuse is usually labeled c. a b c How do I use the Pythagorean Theorem to solve problems?

The relationship Pythagorus discovered is now called The Pythagorean Theorem: a b c How do I use the Pythagorean Theorem to solve problems?

The Pythagorean Theorem says, given the right triangle with legs a and b and hypotenuse c, a b c How do I use the Pythagorean Theorem to solve problems?

then a b c How do I use the Pythagorean Theorem to solve problems?

You can use The Pythagorean Theorem to solve many kinds of problems. Suppose you drive directly west for 48 miles, 48 How do I use the Pythagorean Theorem to solve problems?

Then turn south and drive for 36 miles How do I use the Pythagorean Theorem to solve problems?

How far are you from where you started? ? How do I use the Pythagorean Theorem to solve problems?

48 2 Using The Pythagorean Theorem, c =c2c2 How do I use the Pythagorean Theorem to solve problems?

Why?Can you see that we have a right triangle? c =c2c2 How do I use the Pythagorean Theorem to solve problems?

Which side is the hypotenuse?Which sides are the legs? c =c2c2 How do I use the Pythagorean Theorem to solve problems?

Then all we need to do is calculate: How do I use the Pythagorean Theorem to solve problems?

And you end up 60 miles from where you started So, since c 2 is 3600, c is60.So, since c 2 is 3600, c is How do I use the Pythagorean Theorem to solve problems?

Find the length of a diagonal of the rectangle: 15" 8" ? How do I use the Pythagorean Theorem to solve problems?

Find the length of a diagonal of the rectangle: 15" 8" ? b = 8 a = 15 c How do I use the Pythagorean Theorem to solve problems?

b = 8 a = 15 c How do I use the Pythagorean Theorem to solve problems?

Find the length of a diagonal of the rectangle: 15" 8" 17 How do I use the Pythagorean Theorem to solve problems?

Practice using The Pythagorean Theorem to solve these right triangles: How do I use the Pythagorean Theorem to solve problems?

5 12 c = 13 How do I use the Pythagorean Theorem to solve problems?

10 b 26 How do I use the Pythagorean Theorem to solve problems?

10 b 26 = 24 (a)(a) (c)(c) How do I use the Pythagorean Theorem to solve problems?

12 b 15 = 9 How do I use the Pythagorean Theorem to solve problems?

Try This… If the height of a building is 12 feet and a 20 foot ladder is propped against it, how far away is the base of ladder to the bottom of the building?

Take me out to the ball game! The distance from home plate to first base is 90 feet. It is the same distance from first to second base. How long is the diagonal from second to home base?