Pythagorean Triplets

Q. The Pythagorean triplet whose smallest number is 6 is _____. Choose the correct answer to fill in the blanks.

1. 6, 7, 5
2. 7, 9, 2
3. 6, 8, 10
4. 6, 11, 10

Q. Which of the following is not a Pythagorean triplet?

1. 8, 20, 25
2. 3, 4, 5
3. 7, 24, 25
4. 5, 12, 13

Q.

Write the Pythagorean triplet whose one of the numbers is $4$.

Q.

Write a Pythagorean triplet whose smallest number is
(i) 6 (ii) 14 (iii) 16 (iv) 20

Q.

Question 100

Write two Pythagorean triplets, each having one of the numbers as 5.

Q. The sides (other than hypotenuse) of a right triangle are in the ration 3:4. A rectangle is described on its hypotenuse, the hypotenuse being the longer side of the rectangle. The breadth of the rectangle is 4/5 of its length. Find the shortest side of the right triangle if the perimeter of the rectangle is 180cm.

Q.

Write the Pythagorean triplet whose smallest member is $8$?

Q.

Write three sets of pythagorean triplets such that each set has numbers less than 30.

Q. 3, 4, 5 is a pythagorean triplet.

1. True
2. False

Q. Which among the following are Pythagorean triplets?

1. 15, 8, 17
2. 3, 4, 5
3. 12, 16, 20
4. 1, 1, 2

Q.

Question 95

Solve the following question:

Write the Pythagorean triplet whose one of the numbers is 4.

Q.

If ${15}^2+a^2=b^2,$ then find $a$ and $b$ respectively.

1. 8, 9

2. 8, 16

3. 8, 17

4. 9, 16

Q.

Question 94

Solve the following question:

Can a right-angled triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.

Q. The pythagorean triplet whose smallest number is 12 is .

1. 12, 35, 37
2. 12, 40, 48
3. 12, 13, 18

Q.

If 24, x, 26 form a pythagorean triplet, then find x?

1. 9

2. 10

3. 8

4. 11

Q.

If 6, 8 and c form a Pythagorean triplet, then find the value of c?

1. 4

2. 5

3. 10

4. 7

Q.

Question 65

State whether the following statement is true or false:

For every natural number $m$, $(2m-1,2m^2-2m$, $2m^2-2m+1$) is a pythagorean triplet.

Q.

The lengths 18 cm, 24 cm and x cm form the sides of a right-angled triangle. The value of x is

1. 30

2. 40

3. 60
4. 900

Q.

The lengths 18 cm, 24 cm and 30 cm can form the sides of a right-angled triangle.

1. 18 cm, 19 cm, 20 cm

2. 18 cm, 25 cm, 32 cm

Q.

Question 2 (i)
Write a Pythagorean triplet whose one member is:

6

Q.

What are Pythagorean Triplets?

Q.

Write a statement of the Pythagoras theorem and show that the $6,8$ and $10$ are Pythagorean triplets.

Q. What is pythagorean triplet?

Q. State whether $(14,48,50)$ is Pythagorean triplet or not.Why?
[2 marks]

Q.

If one diagonal of a rectangle is $6$ cm long, length of the other diagonal is__________.

Q. If (6, 8, x) form a pythagorean triplet, what is the value of x?

1. 11
2. 12
3. 8
4. 10

Q.

Which one of the following is not a Pythagorean triples?

1. $11,60,61$

2. $16,63,65$

3. $28,45,53$

4. $30,80,89$

Q. Which among the following are Pythagorean triplets?
\((i)1, 1, 2\)
\((ii)3, 4, 6\)
\((iii)12, 16, 20\)
\((iv)15, 8, 17\)
(2 marks)

Q. If (6, 8, x) form a pythagorean triplet, what is the value of x?

1. 11
2. 12
3. 8
4. 10

Q. If ${13}^2$ + $a^2$ = $b^2$ ,
then a + b = .

1. 144
2. 169
3. 196
4. 225