Sum of Two Consecutive Triangular Numbers Is a Square Number

Q.

Write a Pythagorean triplet whose smallest number is 14

Q.

How many numbers lie between the square of the given numbers $12$ and $13$?

Q.

The Pythagorean triplet whose one of the member is 16 is

1. 16, 43, 45

2. 16, 63, 65

3. 16, 40, 44

4. 16, 60, 64

Q.

How many numbers lie between the square of the given numbers $25$ and $26$?

Q.

Write Pythagorean triplet whose one member is

6

Q.

I m not able to understand this formula (2m, m^2-1, m^2+1)

Q.

Which of the following set of numbers is a Pythagorean triplet?

1. 2, 3, 4

2. 3, 4, 5

3. 5, 6, 7

4. 3, 4, 6

Q.

Steps for solving Pythagorean triplet of an odd number?

Q.

Pythagorean triplet of 18

Q.

In the Pythagorean triplet 9, 40, 41 what is the natural number

Q.

If three numbers a, b, c form a Pythagorean triplet, then

1. a² + b² = c²

2. a² + b² + c² = 0

3. a² x b² = c²

4. a² - b² = c²

Q. Square of 1. 6
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Q. The Pythagorean triplet whose smallest number is 6 is _____.

1. 6, 7, 8
2. 6, 8, 10
3. 6, 10, 11
4. 6, 12, 15

Q. There are ______ non-square natural numbers between the square of 11 and the square of 12.

1. 21
2. 22
3. 23
4. 24

Q. Write a orthogonal Pythagorean triplet whose one number is 14

Q. Find the largest number of Pythagorean triples whose smallest two numbers are 6 and 8.

Q.

Write a Pythagorean triplet whose one member is 16

Q. Write a Pythagorean triplet whose one member is 6 , 14 , 16 and 18

Q.

By diagonal method, square of number 64 can be calculated by drawing a square and dividing it into

1. 6 sub-squares

2. 8 sub-squares

3. 4 sub-squares

4. 2 sub-squares

Q. Pythogorean triplets for 26.

Q.

Give an example of a pythagorean triplet?

Q.

The sum of two consecutive triangular numbers gives a perfect square.

1. True

2. False

Q.

Observe the following pattern.

The fourth pattern will represent the square of which number?

1. 4

2. 5

3. 3

4. 6

Q. Tap on the pythagorean triplets among the following.

1. $4,8,12$
2. $12,16,20$
3. $6,8,10$
4. $9,17,19$
5. $3,4,5$
6. $5,12,13$
7. $1,2,3$
8. $9,12,15$

Q. A and B are two-digit consecutive numbers such that the unit’s digit of A² is 6 and unit’s digit of B² is 5. Then, the number of all possible non-perfect square numbers between A² and B² is

A तथा B दो अंकों वाली क्रमागत संख्याएँ हैं जबकि A² का इकाई अंक 6 है तथा B² का इकाई अंक 5 है। तब A² व B² के मध्य सभी संभावित संख्याएँ, जो पूर्ण वर्ग नहीं हैं, की संख्या है

1. 1872
   
2. 1962
   
3. 1982
   
4. 2022
   

Q. In how many ways can 729 be expressed as a difference of squares of two whole numbers.

Q.

Which of the following is not a Pythagorean triplet?

1. 30, 40, 50

2. 40, 76, 86

3. 9, 40, 41

4. 24, 32, 40

Q.

How to find Pythagorean triplet of an even number i.e 16

Q. How to find a Pythagorean triplet

Q. The Pythagorean triplet whose smallest number is 6 is _____.

1. 6, 7, 8
2. 6, 8, 10
3. 6, 12, 15
4. 6, 10, 11