Class 7 Exam > Class 7 Questions > Which triplets of numbers cannot possibly rep...
Start Learning for Free
Which triplets of numbers cannot possibly represent the sides of a right triangle?
- a)15, 20, 25
- b)8, 9, 10
- c)16, 20, 12
- d)2.5, 6.5, 6
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Which triplets of numbers cannot possibly represent the sides of a rig...
Explanation:
To determine if a triplet of numbers can represent the sides of a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
The Pythagorean theorem can be written as:
c^2 = a^2 + b^2
Where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.
To determine if a triplet of numbers can represent the sides of a right triangle, we need to check if the square of the longest side is equal to the sum of the squares of the other two sides.
Checking the triplets:
a) 15, 20, 25
- The longest side is 25.
- Using the Pythagorean theorem: 25^2 = 15^2 + 20^2
- Simplifying: 625 = 225 + 400
- This equation is true, so the triplet can represent the sides of a right triangle.
b) 8, 9, 10
- The longest side is 10.
- Using the Pythagorean theorem: 10^2 = 8^2 + 9^2
- Simplifying: 100 = 64 + 81
- This equation is false, so the triplet cannot represent the sides of a right triangle.
c) 16, 20, 12
- The longest side is 20.
- Using the Pythagorean theorem: 20^2 = 16^2 + 12^2
- Simplifying: 400 = 256 + 144
- This equation is true, so the triplet can represent the sides of a right triangle.
d) 2.5, 6.5, 6
- The longest side is 6.5.
- Using the Pythagorean theorem: 6.5^2 = 2.5^2 + 6^2
- Simplifying: 42.25 = 6.25 + 36
- This equation is true, so the triplet can represent the sides of a right triangle.
Conclusion:
The only triplet of numbers that cannot represent the sides of a right triangle is 8, 9, 10.
To determine if a triplet of numbers can represent the sides of a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
The Pythagorean theorem can be written as:
c^2 = a^2 + b^2
Where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.
To determine if a triplet of numbers can represent the sides of a right triangle, we need to check if the square of the longest side is equal to the sum of the squares of the other two sides.
Checking the triplets:
a) 15, 20, 25
- The longest side is 25.
- Using the Pythagorean theorem: 25^2 = 15^2 + 20^2
- Simplifying: 625 = 225 + 400
- This equation is true, so the triplet can represent the sides of a right triangle.
b) 8, 9, 10
- The longest side is 10.
- Using the Pythagorean theorem: 10^2 = 8^2 + 9^2
- Simplifying: 100 = 64 + 81
- This equation is false, so the triplet cannot represent the sides of a right triangle.
c) 16, 20, 12
- The longest side is 20.
- Using the Pythagorean theorem: 20^2 = 16^2 + 12^2
- Simplifying: 400 = 256 + 144
- This equation is true, so the triplet can represent the sides of a right triangle.
d) 2.5, 6.5, 6
- The longest side is 6.5.
- Using the Pythagorean theorem: 6.5^2 = 2.5^2 + 6^2
- Simplifying: 42.25 = 6.25 + 36
- This equation is true, so the triplet can represent the sides of a right triangle.
Conclusion:
The only triplet of numbers that cannot represent the sides of a right triangle is 8, 9, 10.
Free Test
FREE
| Start Free Test |
Community Answer
Which triplets of numbers cannot possibly represent the sides of a rig...
To determine whether the sides of a right angled triangle are possible we can use the Pythagoras theorem.
Which is- the square of the longest side of the triangle is equal to the square of the height and base of the triangle
15,20,25
The longest side is 25
25^ = 20^ + 15^
625=400+225
Hence, this triangle is possible
8,9,10
The longest side is 10
10^=8^+9^
100 is not equal to 64+81
16,20,12
The longest side is 20
20^=16^+12^
400=256+144
Hence, this triangle is possible
2.5,6.5,6
The longest side is 6.5
6.5^=2.5^+6^
42.25=6.25+36
Hence, the triangle is possible.
Which is- the square of the longest side of the triangle is equal to the square of the height and base of the triangle
15,20,25
The longest side is 25
25^ = 20^ + 15^
625=400+225
Hence, this triangle is possible
8,9,10
The longest side is 10
10^=8^+9^
100 is not equal to 64+81
16,20,12
The longest side is 20
20^=16^+12^
400=256+144
Hence, this triangle is possible
2.5,6.5,6
The longest side is 6.5
6.5^=2.5^+6^
42.25=6.25+36
Hence, the triangle is possible.
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
Which triplets of numbers cannot possibly represent the sides of a right triangle?a)15, 20, 25b)8, 9, 10c)16, 20, 12d)2.5, 6.5, 6Correct answer is option 'B'. Can you explain this answer?
Question Description
Which triplets of numbers cannot possibly represent the sides of a right triangle?a)15, 20, 25b)8, 9, 10c)16, 20, 12d)2.5, 6.5, 6Correct answer is option 'B'. Can you explain this answer? 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 Which triplets of numbers cannot possibly represent the sides of a right triangle?a)15, 20, 25b)8, 9, 10c)16, 20, 12d)2.5, 6.5, 6Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which triplets of numbers cannot possibly represent the sides of a right triangle?a)15, 20, 25b)8, 9, 10c)16, 20, 12d)2.5, 6.5, 6Correct answer is option 'B'. Can you explain this answer?.
Which triplets of numbers cannot possibly represent the sides of a right triangle?a)15, 20, 25b)8, 9, 10c)16, 20, 12d)2.5, 6.5, 6Correct answer is option 'B'. Can you explain this answer? 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 Which triplets of numbers cannot possibly represent the sides of a right triangle?a)15, 20, 25b)8, 9, 10c)16, 20, 12d)2.5, 6.5, 6Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which triplets of numbers cannot possibly represent the sides of a right triangle?a)15, 20, 25b)8, 9, 10c)16, 20, 12d)2.5, 6.5, 6Correct answer is option 'B'. Can you explain this answer?.
Solutions for Which triplets of numbers cannot possibly represent the sides of a right triangle?a)15, 20, 25b)8, 9, 10c)16, 20, 12d)2.5, 6.5, 6Correct answer is option 'B'. Can you explain this answer? 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 Which triplets of numbers cannot possibly represent the sides of a right triangle?a)15, 20, 25b)8, 9, 10c)16, 20, 12d)2.5, 6.5, 6Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which triplets of numbers cannot possibly represent the sides of a right triangle?a)15, 20, 25b)8, 9, 10c)16, 20, 12d)2.5, 6.5, 6Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Which triplets of numbers cannot possibly represent the sides of a right triangle?a)15, 20, 25b)8, 9, 10c)16, 20, 12d)2.5, 6.5, 6Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Which triplets of numbers cannot possibly represent the sides of a right triangle?a)15, 20, 25b)8, 9, 10c)16, 20, 12d)2.5, 6.5, 6Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which triplets of numbers cannot possibly represent the sides of a right triangle?a)15, 20, 25b)8, 9, 10c)16, 20, 12d)2.5, 6.5, 6Correct answer is option 'B'. Can you explain this answer? 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup