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प्रश्न
Which of the following triplets are pythagorean?
(8, 15, 17)
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उत्तर
he two smallest numbers are 8 and 15. The sum of their squares is:
82 + 152 = 289 = 172
Hence, (8, 15, 17) is a Pythagorean triplet.
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संबंधित प्रश्न
Find the square of the given number.
32
Find the square of the given number.
93
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 \[1^2 = \frac{1}{6}\left[ 1 \times \left( 1 + 1 \right) \times \left( 2 \times 1 + 1 \right) \right]\]
\[ 1^2 + 2^2 = \frac{1}{6}\left[ 2 \times \left( 2 + 1 \right) \times \left( 2 \times 2 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 = \frac{1}{6}\left[ 3 \times \left( 3 + 1 \right) \times \left( 2 \times 3 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 + 4^2 = \frac{1}{6}\left[ 4 \times \left( 4 + 1 \right) \times \left( 2 \times 4 + 1 \right) \right]\] and find the values :
12 + 22 + 32 + 42 + ... + 102
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
96
Find the squares of the following numbers using diagonal method:
171
Find the square of the following number:
127
Find the square of the following number:
575
The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is ______.
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.
