Finding Pythagorean Triplets for Any Given Number

Q.

Is sum of two perfect squares also a perfect square?

1. Yes

2. No

Q. In $\Delta PQR$, $PD\perp QR$ such that D lies on QR, if PQ = a, PR = b, QD = c and DR = d, then prove that (a+b) (a-b) = (c+d) (c-d).

Q.

Write a Pythagorean triplet whose one member is. i) $6$ ii) $14$ iii) $16$ iv) $18$

Q.

Which of the following is a Pythagorean triplet?
(a) $(2,3,5)$
(b) $(5,7,9)$
​​​​​​​(c) $(6,9,11)$
​​​​​​​(d) $(8,15,17)$

Q.

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

14

Q. Check whether the following numbers form Pythagorean triplet.
$6,8,10$

Q. Which of the following triplets are Pythagorean ?
$(3,4,5),(6,7,8),(10,24,26),(2,3,4).$

Q.

Question 10

Write the correct answer from the given four options.

If one member of a Pythagorean triplet is $2m$, then the other two members are

a) $m,m^2+1$
b) $m^2+1,m^2-1$
c) $m^2,m^2-1$
d) $m^2,m+1$

Q.

In a square ABCD, if AB=(3x8)cm and BC=(x+6)cm , find the

Value of x. Also , find the length of each side of the square.

Q. Write a Pythagorean triplet whose one member is $14$.

Q. Check whether the following numbers form a Pythagorean triplet.
$8,15,17$

Q.

Question 66

State whether the following statement is true or false:

All numbers of a Pythagorean triplet are odd.

Q.

Question 2 (iii)
Write a Pythagorean Triplet whose one member is:

16

Q. Sum of 6 consecutive integers is 3. Find the sum of squares of those 6 integers.

1. 19
2. 12
3. 18
4. 20

Q. Write a Pythagorean triplet whose one number is 8

1. $15,10,5$
2. $63,27,3$
3. $80,40,20$
4. $8,10,6$

Q. Find a Pythagorean triplet in which one member is 12

1. 5, 12, 13
   
2. 7, 12, 19
   
3. 11, 12, 15
   
4. 11, 12, 18
   

Q. Write a Pythagorean triplet whose one number is:
(i) 6
(ii) 14
(iii) 16
(iv) 18

Q. Write a Pythagorean triplet whose one member is $16$.

Q.

If 24, $x$, 26 form a pythagorean triplet with 26 being the largest number, then find the value of $x$.

1. 8

2. 9

3. 10

4. 11

Q.

1. True
2. False

Q. Find the Pythagorean triplet whose one number is
(a) $10$
(b) $15$
(c) $50$

Q. Write a Pythagorean triplet whose one member is

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

Q. $10,24$ and __ will form a Pythagorean triplets.

1. $25$
2. $26$
3. $27$
4. $28$

Q. Check if the following lengths are Pythagorean triples: $8,15$ and $17$.

Q.

Write a Pythagorean triplet whose one member is

Q. Identify which one of the following numbers are Pythagorean triplets?

1. $12,35,37$
2. $15,102,106$
3. $10,23,26$
4. $14,28,50$

Q. In $n$ is an odd number and n > 1, then prove that $(n,\frac{n^2-1}{2},\frac{n^2+1}{2})$ is a Pythagorean triplet. Write two Pythagorean triplet making suitable value of $n$.

Q. Define pythagoras theorm.

Q. Find the Pythagorean Triples using the values, $m=2$ and $n=3$.