Pythagorean Triplet

Q.

Find the smallest natural number whose square is sum of squares of two natural numbers? [2 MARKS]

Q. What is the third number which can form a Pythagorean triplet along with 11 and 60? (2 marks)

Q.

Find a and b from ${15}^2$ + $a^2$ = $b^2$.

1. 8, 9

2. 8, 16

3. 8, 17

4. 9, 16

Q. Which of the following is a Pythagorean triplet?

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

Q. If $(15,a,b)$ form a pythagorean triplet, then find $(a,b)?$[4 marks]

Q. What is the third number which can form a Pythagorean triplet along with 9 and 12?

1. 15
2. 21
3. 3
4. 108

Q.

If 24, x, 26 form a pythagorean triplet with 26 being the largest number, find x?

1. 8

2. 9

3. 11

4. 10

Q. The following are examples of.

1. 
2. 
3. 
4. 

Q.

Which of the following forms a Pythagorean triplet?

1. 5, 12, 14

2. 8, 15, 16

3. 20, 21, 29

4. 3, 4, 6

Q. Find a and b from ${15}^2$ + $a^2$ = $b^2$.
a & b =

1. 8, 16
2. 8, 15
3. 8, 17

Q.

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

1. True
2. False

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. Which of the following is not a Pythagorean triplet?

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

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

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

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

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

Q. Anu has to find the square of 17 and 15 to solve a problem on pythagorean triplets. She came up with two numbers, 225 and 289, but mixed them up. Help her with the correct answer option.

1. ${15}^2$ = 225
2. ${17}^2$ = 289
3. ${15}^2$ = 289
4. ${17}^2$ = 225

Q. In a rectangle with sides 6 cm and 8 cm, what is the length of the diagonal?

1. 12
2. 16
3. 14
4. 10