Geometry 5 7
Download
1 / 21

Geometry 5.7 - PowerPoint PPT Presentation


  • 105 Views
  • Uploaded on

Geometry 5.7. The Pythagorean Theorem. Learning Targets. Students will be able to… Use the Pythagorean theorem and its converse to solve problems. Use Pythagorean inequalities to classify triangles. Warm-up. Homework Check. Homework Check. Vocabulary. c. a. b. Right Triangles.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Geometry 5.7' - dwayne


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Geometry 5 7
Geometry 5.7

The Pythagorean Theorem


Learning targets
Learning Targets

  • Students will be able to…

    • Use the Pythagorean theorem and its converse to solve problems.

    • Use Pythagorean inequalities to classify triangles.





Vocabulary
Vocabulary

c

a

b


Right triangles
Right Triangles

Hypotenuse – Always the longest side.

- Side opposite the right angle.

- Side c is the hypotenuse

Pythagorean Theorem:

c

a

b

Leg – The two shorter sides.

- The sides that make up the right angle.

- a and b are the legs




Pythagorean triples
Pythagorean Triples

  • Pythagorean Triples – all sides of the right triangle are whole numbers.

  • Still use the Pythagorean theorem to find the missing side.

  • However, when done if you notice that all three numbers are whole numbers then you have a Pythagorean triple.

  • 3, 4, 5 is a Pythagorean triple and any number times 3, 4, and 5 will create a Pythagorean triple.


Example 2 identifying pythagorean triples
Example 2: Identifying Pythagorean Triples

  • Find the missing side. Tell if the side lengths form a Pythagorean Triple


Example 2 identifying pythagorean triples1
Example 2: Identifying Pythagorean Triples

Find the missing side. Tell if the side lengths form a Pythagorean Triple


Classifying triangles
Classifying Triangles

  • Tell if the measures can be the side lengths of a triangle. If so classify the triangle.

  • Step 1: Determine if a triangle

  • Step 2: Classify the triangle

  • Classify the triangle using the following chart


Classifying triangles1
Classifying Triangles

  • Tell if the measures can be the side lengths of a triangle. If so classify the triangle.

  • A. 8, 11, 13 B. 7, 12, 16


Classifying triangles2
Classifying Triangles

  • Tell if the measures can be the side lengths of a triangle. If so classify the triangle.

  • C. 5.8, 9.3, 15.6 D. 3.8, 4.1, 5.2


Classifying triangles3
Classifying Triangles

  • Tell if the measures can be the side lengths of a triangle. If so classify the triangle.

  • E. 5, 7, 10 F. 11, 18, 34







ad