Class 8 Exam > Class 8 Questions > 2,6,7 find the pythegorian triplate Related: ...
Start Learning for Free
2,6,7 find the pythegorian triplate
? Related: What are Pythagorean Triples?
Most Upvoted Answer
2,6,7 find the pythegorian triplate Related: What are Pythagorean Tri...
What are Pythagorean Triples?
Pythagorean triples are sets of three integers that satisfy the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In other words, if a, b, and c are the lengths of the sides of a right-angled triangle where c is the hypotenuse, then a^2 + b^2 = c^2. Pythagorean triples are useful in solving problems related to right-angled triangles.
Finding Pythagorean Triples
There are several methods for finding Pythagorean triples, including:
Finding the Pythagorean triple for 2, 6, and 7
To determine whether 2, 6, and 7 form a Pythagorean triple, we need to check whether they satisfy the Pythagorean theorem. We have:
2^2 + 6^2 = 4 + 36 = 40
7^2 = 49
Since 40 is not equal to 49, 2, 6, and 7 do not form a Pythagorean triple.
Pythagorean triples are sets of three integers that satisfy the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In other words, if a, b, and c are the lengths of the sides of a right-angled triangle where c is the hypotenuse, then a^2 + b^2 = c^2. Pythagorean triples are useful in solving problems related to right-angled triangles.
Finding Pythagorean Triples
There are several methods for finding Pythagorean triples, including:
- Euclid's formula: Euclid's formula is a method for generating Pythagorean triples. It states that for any two positive integers m and n, where m > n, the three integers a = m^2 - n^2, b = 2mn, and c = m^2 + n^2 form a Pythagorean triple.
- Using multiples: If (a, b, c) is a Pythagorean triple, then k(a, b, c) is also a Pythagorean triple for any positive integer k.
- Using primitive Pythagorean triples: A primitive Pythagorean triple is a set of three integers that are relatively prime (i.e., they have no common factors) and form a Pythagorean triple. All other Pythagorean triples can be generated from primitive Pythagorean triples.
- Using geometric shapes: Pythagorean triples can be found by constructing certain geometric shapes, such as squares and circles.
Finding the Pythagorean triple for 2, 6, and 7
To determine whether 2, 6, and 7 form a Pythagorean triple, we need to check whether they satisfy the Pythagorean theorem. We have:
2^2 + 6^2 = 4 + 36 = 40
7^2 = 49
Since 40 is not equal to 49, 2, 6, and 7 do not form a Pythagorean triple.
Community Answer
2,6,7 find the pythegorian triplate Related: What are Pythagorean Tri...
The general formula for Pythagorean triples can be shown as, a2 + b2 = c2, where a, b, and c are the positive integers that satisfy this equation, where 'c' is the "hypotenuse" or the longest side of the triangle and a and b are the other two legs of the right-angled triangle
2 doesn't have a Pythagorean triplet.
6=doesn't have Pythagorean triplet.
7=doesn't have Pythagorean triplet.
because they don't have square roots
2 doesn't have a Pythagorean triplet.
6=doesn't have Pythagorean triplet.
7=doesn't have Pythagorean triplet.
because they don't have square roots
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Similar Class 8 Doubts
Top Courses for Class 8View all
2,6,7 find the pythegorian triplate Related: What are Pythagorean Triples??
Question Description
2,6,7 find the pythegorian triplate Related: What are Pythagorean Triples?? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 2,6,7 find the pythegorian triplate Related: What are Pythagorean Triples?? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2,6,7 find the pythegorian triplate Related: What are Pythagorean Triples??.
2,6,7 find the pythegorian triplate Related: What are Pythagorean Triples?? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 2,6,7 find the pythegorian triplate Related: What are Pythagorean Triples?? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2,6,7 find the pythegorian triplate Related: What are Pythagorean Triples??.
Solutions for 2,6,7 find the pythegorian triplate Related: What are Pythagorean Triples?? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of 2,6,7 find the pythegorian triplate Related: What are Pythagorean Triples?? defined & explained in the simplest way possible. Besides giving the explanation of
2,6,7 find the pythegorian triplate Related: What are Pythagorean Triples??, a detailed solution for 2,6,7 find the pythegorian triplate Related: What are Pythagorean Triples?? has been provided alongside types of 2,6,7 find the pythegorian triplate Related: What are Pythagorean Triples?? theory, EduRev gives you an
ample number of questions to practice 2,6,7 find the pythegorian triplate Related: What are Pythagorean Triples?? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 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