Find whether the following triplets are Pythagorean or not? (5, 8, 17)
Answers
Answered by
48
Answer:
5 square + 8 square
25 + 64 = 89
17 × 17 =289
the answer is NO
Answered by
9
Given : ( 5 , 8 , 17)
To Find : whether the given triplet is Pythagorean or not
Solution:
Pythagorean triplet ( a , b , c)
where c > a , b is given by c² = a² + b²
( a , n and c) are sides of a triangle
( 5 , 8 , 17)
5 + 8 = 13 < 17
Hence these does not even form a triangle hence can not be Pythagorean triplet
Also checking using Pythagorean triplet condition
( 5 , 8 , 17)
5² + 8² = 25 + 64 = 89
17² = 289
89 ≠ 289
5² + 8² ≠ 17²
Hence not a Pythagorean triplet
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