Intro Pythagorean Theorem

Pythagorean Theorem

By Alisha Cortes

Parts of a Right Triangle

What is the Pythagorean Theorem

​​Steps to Solve:
1. label 2. Substitute 3. Solve

Proving Right Triangles

Given three side lengths, use the formula to prove whether or not they represent the sides of a right triangle.

**Plug in the values for a, b, and c
If it is a TRUE statement, the values represent a Right Triangle
If it is a FALSE statement, the values DO NOT represent a Right Triangle

​Pythagorean Theorem ONLY works on Right triangles

Multiple Choice

Do the given values represent a Right Triangle?

8, 15, and 17

• yes

• no

Multiple Choice

Do the given values represent a Right Triangle?

7, 23, and 25

• yes

• no

Finding a Missing Side

Use the Pythagorean Theorem to find a missing side length. Given two side lengths.

Steps to Solve
1. Label the given sides
2. Substitute those given values into the Pythagorean Theorem
3. Solve for the missing side

Multiple Choice

Solve for the missing side.

• √113 in .or approximately 10.6 in

• 10 in
• 5.38 in

• 4 in

Multiple Choice

Solve for the missing side.

• 20 yd
• 15 yd
• 18 yd
• 25 yd

Multiple Choice

Solve for the missing side

• 10 in

• 18 in
• 14 in
• 16 in

Word Problems

​Draw it out!

1. Read the word problem
2. Draw a picture to represent the problem
3. Label, Substitute & Solve

Multiple Choice

Use Pythagoreans Theorem to find the distance between the two points.

• 4√3

  or

  6.9

• 5
• √26

  or

  5.1

• √74

  or

  8.6

Multiple Choice

Find the length of a rectangle that has a diagonal of 25 feet and a width of 15 feet.

*Draw it out!*

• 15 feet
• 30 feet
• 10 feet
• 20 feet

Multiple Choice

A 20 foot ladder is leaned against a wall. If the base of the ladder is 8 feet from the wall, how high up the wall will the ladder reach?

**Draw it out!**

• 10 feet
• 15 feet
• 20 feet
• 18.3 feet

Review

~ Pythagorean Theorem  is used for Right Triangles only
~ It can be used to either solve for a missing side or prove if a shape is a right triangle.
**Watch the video if further explanation is needed