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प्रश्न
Write a Pythagorean triplet whose one member is 16.
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उत्तर
The three numbers of Pythagorean triples are 2m, m2 - 1 and m2 + 1.
Here, 2m = 16
So, m = 8
Second number (m2 - 1)
= (8)2 - 1
= 64 - 1
= 63
Third number (m2 + 1)
= (8)2 + 1
= 64 + 1
= 65
Hence the Pythagorean triplet is (16, 63, 65).
संबंधित प्रश्न
From the pattern, we can say that the sum of the first n positive odd numbers is equal to the square of the n-th positive number. Putting that into formula:
1 + 3 + 5 + 7 + ... n = n2, where the left hand side consists of n terms.
Which of the following triplet is pythagorean?
(18, 80, 82)
Observe the following pattern \[1^2 = \frac{1}{6}\left[ 1 \times \left( 1 + 1 \right) \times \left( 2 \times 1 + 1 \right) \right]\]
\[ 1^2 + 2^2 = \frac{1}{6}\left[ 2 \times \left( 2 + 1 \right) \times \left( 2 \times 2 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 = \frac{1}{6}\left[ 3 \times \left( 3 + 1 \right) \times \left( 2 \times 3 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 + 4^2 = \frac{1}{6}\left[ 4 \times \left( 4 + 1 \right) \times \left( 2 \times 4 + 1 \right) \right]\] and find the values :
12 + 22 + 32 + 42 + ... + 102
Which of the following number is squares of even number ?
256
Find the squares of the following numbers using diagonal method:
295
Find the square of the following number:
425
Find a Pythagorean triplet in which one member is 12.
There are ______ natural numbers between n2 and (n + 1)2
A 5.5 m long ladder is leaned against a wall. The ladder reaches the wall to a height of 4.4 m. Find the distance between the wall and the foot of the ladder.
Put three different numbers in the circles so that when you add the numbers at the end of each line you always get a perfect square.
