**Pythagorean Theorem**

Vocabulary

1. Leg: Either of the two shorter sides of a right triangle.

Diagram of a Right Triangle

Pythagorean Theorem

How to Solve for the

Hypotenuse

Pythagorean Theorem

How to Solve for the Leg

Do you ever feel attacked by a math problem like this little guy

**The Things That Glow**

a

b

c

Legs

Right Angle

mike and ike

Hypotenuse

Given:

a=4

b=?

c=5

?

1. Rewrite the equation.

2. Plug in the values.

Given:

a=5

b=12

c=?

3. Square the values.

4. Get the b by itself by subtracting its neighbor from both sides.

2

5. Find the square root by square-rooting both sides of the equation. Then make a factor tree.

If you don't understand math, don't worry about it. We got your back, because today we are going to show you how to solve the Pythagorean Theorem

6. Put the factors from the tree into a square root equation.

√3 • 3 (pair)

Well if you do then we are the ones who want to plug in that light bulb to help you understand, We are

The things that glow

7. Each pair of numbers comes out of the equation and combines.

b = 3

Project: How to understand the Pythagorean Theorem

The missing leg = 3

Make sure the squares of your legs equal the square of your hypotenuse using the converted Pythagorean Theorem Method. You do this to detmine whether a triangle is right or not.

How To video

4

5

5

12

?

1. Rewrite the Equation

2. Plug in 5 for a and 12 for b

5 + 12 =c

2 2 2

3. multiply 5 and 12 by

themselves

5•5 + 12•12= c

4. Then add the squared

numbers together

25 + 144= c

2

2

169 = c

2

5. Square the c and the 169

√169=√c

2

6. (Use your calculator) Type in the √ button and you will find out you will get 13.

7.Check your work (again use your calculator) type in √(depending how your calculator is set up) and put in 169 if it equals 13 then you have the right answer. So the square root of 169 is 13

Check your work

So math might wanna make you pull out your hair but do not worry we will save your hair one strand at a time.

2. Hypotenuse: The longest side of a right triangle. It is opposite of the right angle.

3. a: The variable that stands for one of the two legs of a right triangle.

4. b: The variable that stands for one of the two legs of a right triangle.

5. c: The variable that stands for the hypotenuse of a right triangle.

6. Right Angle: An angle with a measure of 90° and is indicated by a square drawn at the corner formed by the angle.

7. Right Triangle: A triangle with a right angle

Given:

a=4

b=3

c=5

4

5

3

**The Creators**

Melanie Alvarado

Tori Bonacio

Kristina McIntyre

Juliette Alvarado

1. Rewrite the Equation

a + b = c

2

2

2

2. Plug in the values.

4 + 3 = 5

2

2

2

3. Find the squares of each value.

The Summary

4 • 4 + 3 • 3 = 5 • 5

16 + 9 = 25

4. Add a and b togehter

16 + 9 = 25 = 25

25 = 25

5. If a and b combined equal c, the triangle is right. If they do not equal, it is not.

Period 4

May 13, 2016

b=3