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Question
All numbers of a pythagorean triplet are odd.
Options
True
False
Solution
This statement is False.
Explanation:
3, 4 and 5 are the numbers of pythagorean triplet as 52 = 42 + 32 where, 4 is not an odd number.
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RELATED QUESTIONS
Write a Pythagorean triplet whose one member is 6.
Write a Pythagorean triplet whose one member is 18.
Observe the following pattern \[1 = \frac{1}{2}\left\{ 1 \times \left( 1 + 1 \right) \right\}\]
\[ 1 + 2 = \frac{1}{2}\left\{ 2 \times \left( 2 + 1 \right) \right\}\]
\[ 1 + 2 + 3 = \frac{1}{2}\left\{ 3 \times \left( 3 + 1 \right) \right\}\]
\[1 + 2 + 3 + 4 = \frac{1}{2}\left\{ 4 \times \left( 4 + 1 \right) \right\}\]
and find the values of following:
1 + 2 + 3 + 4 + 5 + ... + 50
Observe the following pattern \[1 = \frac{1}{2}\left\{ 1 \times \left( 1 + 1 \right) \right\}\]
\[ 1 + 2 = \frac{1}{2}\left\{ 2 \times \left( 2 + 1 \right) \right\}\]
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348
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