Pythagorean Theorem Lesson Notes

Pythagorean Theorem Introduction

Ms. Pena

​Characteristics of a Right Triangle

• A right triangle has TWO smaller sides adjacent to the right angle: LEGS (a & b)

• ​A right triangle has ONE larger side, opposite of the right angle:HYPOTENUSE (c)

​1.

​2.

​3.

​On a separate piece of paper label each side of the following triangles...

Fill in the Blanks

Exponent and Square Root Review

​Pythagorean Theorem

Example: Setting up the Pythagorean theorem formula

​The given side lengths are: 3, 4, and 5.

​Determine if this is a right triangle

Proving the Pythagorean Theorem

​How many right triangles are on the right side?

​How many right triangles are on the left side?

Open Ended

How many square units are in square A, B, and C?

What can you tell me about the relationship between the area of these three squares?

​Solve for the missing side c.

​Solve for the missing side a

​Solve the following word problem using Pythagorean Theorem.