Class 7 Exam > Class 7 Questions > Pythagoras theorem?
Start Learning for Free
Pythagoras theorem?
Most Upvoted Answer
Pythagoras theorem?
In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
Community Answer
Pythagoras theorem?
Pythagoras Theorem
The Pythagorean theorem is a fundamental principle in geometry that relates the lengths of the sides of a right triangle. It is named after the ancient Greek mathematician Pythagoras.
Statement of the Theorem
In any right triangle:
The theorem states that:
a² + b² = c²
This means that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Understanding the Components
Applications of the Theorem
The Pythagorean theorem is widely used in various fields:
Example Calculation
If a right triangle has legs of lengths 3 cm and 4 cm:
The hypotenuse measures 5 cm, demonstrating the theorem’s application in finding unknown side lengths.
The Pythagorean theorem is a fundamental principle in geometry that relates the lengths of the sides of a right triangle. It is named after the ancient Greek mathematician Pythagoras.
Statement of the Theorem
In any right triangle:
- a = length of one leg
- b = length of the other leg
- c = length of the hypotenuse (the side opposite the right angle)
The theorem states that:
a² + b² = c²
This means that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Understanding the Components
- Right Triangle: A triangle that has one angle measuring 90 degrees.
- Hypotenuse: The longest side of the right triangle, opposite the right angle.
- Legs: The two shorter sides that form the right angle.
Applications of the Theorem
The Pythagorean theorem is widely used in various fields:
- Construction: To calculate distances and heights.
- Navigation: For determining the shortest path.
- Physics: In problems involving vectors and motion.
Example Calculation
If a right triangle has legs of lengths 3 cm and 4 cm:
- Apply the theorem: 3² + 4² = c²
- Calculate: 9 + 16 = c² → c² = 25
- Find c: c = √25 = 5 cm
The hypotenuse measures 5 cm, demonstrating the theorem’s application in finding unknown side lengths.
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
|
Explore Courses for Class 7 exam
|
|
Similar Class 7 Doubts
Top Courses for Class 7View all
Pythagoras theorem?
Question Description
Pythagoras theorem? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Pythagoras theorem? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pythagoras theorem?.
Pythagoras theorem? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Pythagoras theorem? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pythagoras theorem?.
Solutions for Pythagoras theorem? in English & in Hindi are available as part of our courses for Class 7.
Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of Pythagoras theorem? defined & explained in the simplest way possible. Besides giving the explanation of
Pythagoras theorem?, a detailed solution for Pythagoras theorem? has been provided alongside types of Pythagoras theorem? theory, EduRev gives you an
ample number of questions to practice Pythagoras theorem? tests, examples and also practice Class 7 tests.
|
|
Explore Courses for Class 7 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup