Question

the product of the number 14 and 16 is determined by using (p+1) (p-1) = psq. where p is one of the member of the Pythagorean triplet which is neither the largest not the smallest. which of the following represent all the the member of the Pythagorean triplet??

4,5,17
8,15,17
14,15,17
8,63,64


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Answer 1

Step-by-step explanation:

A Pythagorean triplet can be represented by

(2k,k²-1,k²+1) where 2k<k²-1<k²+1 for

k€{3,4,5,...... infinity}

14×16=(p-1)(p+1)

p=15

Given that

15 is neither the smallest or the largest.It is intermediate.

2k<k²-1<k²+1.

15=k²-1

k²=16

k=4

Triplet is (2k,k²-1,k²+1)

(8,15,17)