Which of following is a Pythagorean triplet (6,8,10) (5,12,18) (3,4,7) none
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(6,8,10)
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(A) (6, 8, 10) (B) (3,4,7)
(C) (5, 12, 18)
(A) (6,8,10) is a Pythagoras triplet
To check which of the following is a Pythagoras triplet we'll use Pythagoras theorem:
Hypotenuse ²= perpendicular ²+base²
A) (6,8,10)
Note : bigger values must be taken as hypotenuse as hypotenuse is the largest side.
Let's take 10 as hypotenuse and remaining as base and perpendicular
=> 10²= 6²+8²
=> 100= 36+64
Therefore, (A) is a Pythagoras triplet.
B) (3,4,7)
=> 7² = 49
=> 3²+4²= 9+16= 25
Here, 49≠ 25
Therefore, B) is not a Pythagoras triplet.
C) (5,12,18)
=> 18²= 324
=> 5²+12²= 25+144= 169
Since , 18²≠ 5²+12²
Therefore, C) is not a Pythagoras triplet.
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