Advertisements
Advertisements
Question
Write the Pythagorean triplet whose one of the numbers is 4.
Advertisements
Solution
For any natural number greater than 1, (2m, m2 – 1, m2 + 1) is Pythagorean triplets.
So, if one number is 2m, then another two numbers will be m2 – 1 and m2 + 1.
Given, one number = 4
Then Pythagorean triplets:
2m = 4 or m = 2
So, m2 – 1 = (2)2 – 1 = 4 – 1 = 3
m2 + 1 = (2)2 + 1 = 4 + 1 = 5
Now, (3)2 + (4)2 = (5)2
⇒ 9 + 16 = 25
⇒ 25 = 25
Therefore, Pythagorean triplets are 3, 4 and 5.
APPEARS IN
RELATED QUESTIONS
What will be the units digit of the square of the following number?
52
Observe the following pattern
22 − 12 = 2 + 1
32 − 22 = 3 + 2
42 − 32 = 4 + 3
52 − 42 = 5 + 4
and find the value of
1112 − 1092
Observe the following pattern
22 − 12 = 2 + 1
32 − 22 = 3 + 2
42 − 32 = 4 + 3
52 − 42 = 5 + 4
and find the value of
992 − 962
Which of the following triplets are pythagorean?
(8, 15, 17)
Which of the following triplet is pythagorean?
(18, 80, 82)
Which of the following triplet pythagorean?
(14, 48, 51)
Which of the following triplet pythagorean?
(12, 35, 38)
Which of the following number square of even number?
373758
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
54
Find the squares of the following numbers using diagonal method:
98
