Pythagorean Theorem Pythagorean Theorem =

A + B = C

Pythagorean theorem can only be

applies to right triangles. 2 2 2 Pythagorean theorem states that A squared plus B squared will equal

C squared The side of the triangle right across the right angle sign is called the hypotenuse. The two other sides are called legs. Hypotenuse Leg Leg In the Pythagorean theorem

A is one of the legs, B

is the other leg, and

C is always the hypotenuse A + B = C

A = one of the legs

B = the other leg

C = the hypotenuse 2 2 2 A = 3 cm B = 4 cm C = ? To find out how out long the hypotenuse (C) is

use Pythagorean theorem

A + B = C

Replace the variables with the numbers you know

3 + 4 = C

Square both 3 and 4

9+16=C

Add 9 and 16

25= C

find the square root of both C and 25

5 = C

and now you know that C is 5cm long. 2 2 2 2 2 2 2 2 C = 100 cm B = 8 cm A = ? C = 10 cm A = 8 cm B = ? To find the length of the missing leg

first write out the Pythagorean theorem

A + B = C

now put in the numbers you know

8 + B = 10

Next square all the numbers

64 + B = 100

Next subtract 64 from both sides

B = 36

Finally, find the square root of both sides

B = 6

So now you know the length of leg B is 6 cm 2 2 2 2 2 2 2 2 Pythagorean theorem in the real world I found this right

triangle when I was

about to eat my lunch.

I know it's a right triangle because

my sandwich was in the shape of a

square before I cut it diagonally.

And I know if you cut a square in half diagonally you end up with a right triangle. I found this right triangle

outside in my backyard when

I looked out my window. I know

It's a right triangle because

it has a right angle.

You could use Pythagorean

theorem to find the length of the

rafters. I found this right triangle

my room. I knew it was a right

triangle because it has a right

angle. Works Cited Works Cited 5 Facts about Pythagoras Born on the island of Samos.

Said to have two or three brothers

His father, Mnesarchus, was a merchant from Tyre

He was well educated, he could read and play the lyre

Ten years after Pythagoras arrived in Egypt, relations between Egypt and Samos fell apart. During this war, Egypt lost and Pythagoras was taken prisoner and taken to Babylon.

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# Pythagorean Theorem Project

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