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Fun Ways to Learn Pythagorean Theorem: Easy Examples and Cool Tricks

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Rihanna Wallace

5/6/2023

Geometry

Pythagorean Theorem

Fun Ways to Learn Pythagorean Theorem: Easy Examples and Cool Tricks

The Pythagorean Theorem is a fundamental concept in geometry that explains the relationship between the three sides of a right triangle. This theorem is crucial for understanding pythagorean theorem in geometry class 9 and 10. It provides a powerful tool for solving various geometric problems and is widely used in mathematics and real-world applications.

The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of squares of the other two sides. This relationship is expressed by the Pythagoras theorem hypotenuse formula: a² + b² = c², where c represents the hypotenuse, and a and b are the lengths of the other two sides.

Students can benefit from exploring Pythagorean Theorem examples and answers to gain a deeper understanding of its applications. Additionally, Pythagorean Theorem videos and practice problems can help reinforce learning and improve problem-solving skills.

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5/6/2023

317

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40
40
D
Ⓒ
O
O
thagorean Theorem
Geometry Notes
explains relationship between the 3 sides of a triangle
Formula
C = √√√9² +6²
9² + b² = C²

View

Pythagorean Theorem: Applications to Different Triangle Types

This page expands on the Pythagorean Theorem by applying it to different types of triangles: right triangles, obtuse triangles, and acute triangles. Understanding these applications is crucial for classifying triangles using Pythagorean Theorem.

Right Triangles

For right triangles, the Pythagorean Theorem holds true in its original form:

c² = a² + b²

Example: In a right triangle with c = 5 and b = 4, we can find a: 5² = a² + 4² 25 = a² + 16 a² = 9 a = 3

Obtuse Triangles

For obtuse triangles, the square of the longest side is greater than the sum of squares of the other two sides:

c² > a² + b²

Example: In an obtuse triangle with c = 6 and b = 4, we can verify: 6² > 3² + 4² 36 > 9 + 16 36 > 25

Acute Triangles

For acute triangles, the square of the longest side is less than the sum of squares of the other two sides:

c² < a² + b²

Example: In an acute triangle with c = 4 and b = 3, we can verify: 4² < 3² + 3² 16 < 9 + 9 16 < 18

Highlight: The relationship between the squares of the sides in different triangle types helps in classifying triangles using Pythagorean Theorem.

These applications of the Pythagorean Theorem demonstrate its versatility in geometry and provide a foundation for solving more complex Pythagorean Theorem problems. Students can use these principles to tackle various Pythagorean Theorem examples with answers and improve their problem-solving skills in geometry.

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Geometry

317

May 6, 2023

2 pages

Fun Ways to Learn Pythagorean Theorem: Easy Examples and Cool Tricks

R

Rihanna Wallace

@rihannawallace_fffn

The Pythagorean Theorem is a fundamental concept in geometry that explains the relationship between the three sides of a right triangle. This theorem is crucial for understanding pythagorean theorem in geometry class 9 and 10. It provides a... Show more

1
40
40
D
Ⓒ
O
O
thagorean Theorem
Geometry Notes
explains relationship between the 3 sides of a triangle
Formula
C = √√√9² +6²
9² + b² = C²

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Pythagorean Theorem: Applications to Different Triangle Types

This page expands on the Pythagorean Theorem by applying it to different types of triangles: right triangles, obtuse triangles, and acute triangles. Understanding these applications is crucial for classifying triangles using Pythagorean Theorem.

Right Triangles

For right triangles, the Pythagorean Theorem holds true in its original form:

c² = a² + b²

Example: In a right triangle with c = 5 and b = 4, we can find a: 5² = a² + 4² 25 = a² + 16 a² = 9 a = 3

Obtuse Triangles

For obtuse triangles, the square of the longest side is greater than the sum of squares of the other two sides:

c² > a² + b²

Example: In an obtuse triangle with c = 6 and b = 4, we can verify: 6² > 3² + 4² 36 > 9 + 16 36 > 25

Acute Triangles

For acute triangles, the square of the longest side is less than the sum of squares of the other two sides:

c² < a² + b²

Example: In an acute triangle with c = 4 and b = 3, we can verify: 4² < 3² + 3² 16 < 9 + 9 16 < 18

Highlight: The relationship between the squares of the sides in different triangle types helps in classifying triangles using Pythagorean Theorem.

These applications of the Pythagorean Theorem demonstrate its versatility in geometry and provide a foundation for solving more complex Pythagorean Theorem problems. Students can use these principles to tackle various Pythagorean Theorem examples with answers and improve their problem-solving skills in geometry.

1
40
40
D
Ⓒ
O
O
thagorean Theorem
Geometry Notes
explains relationship between the 3 sides of a triangle
Formula
C = √√√9² +6²
9² + b² = C²

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Pythagorean Theorem: Geometry Notes

The Pythagorean Theorem is a fundamental principle in geometry that establishes the relationship between the three sides of a right triangle. This page introduces the theorem's formula and provides examples of its application.

Definition: The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides.

The formula is expressed as:

a² + b² = c²

Where:

  • a is the altitude heightheight
  • b is the base
  • c is the hypotenuse longestsideoppositetherightanglelongest side opposite the right angle

Example: To find the hypotenuse of a right triangle with sides 9 and 6:

9² + 6² = c² 81 + 36 = c² 117 = c² √117 ≈ 10.82 roundedtotwodecimalplacesrounded to two decimal places

The page also demonstrates how to find the length of other sides when given two sides of a right triangle. This is particularly useful when learning how to find the hypotenuse of a triangle with two sides or how to calculate the length of a missing side.

Highlight: The Pythagorean Theorem can be used to solve for any side of a right triangle when the other two sides are known.

Vocabulary:

  • Altitude: The perpendicular height of a triangle
  • Base: The side of the triangle upon which the altitude is drawn
  • Hypotenuse: The longest side of a right triangle, opposite the right angle

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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

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This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

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Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

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Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

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Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

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Elisha

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This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

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