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Three numbers form a Pythagorean triplet. Two of them are 15 and 17 where 17 is the largest of them. The third number is
  • a)
    8
  • b)
    12
  • c)
    13
  • d)
    5
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Three numbers form a Pythagorean triplet. Two of them are 15 and 17 wh...
Solution:
Pythagorean triplet is a set of three positive integers such that the sum of the squares of the two smaller integers is equal to the square of the largest integer.

Given, two numbers are 15 and 17 where 17 is the largest of them.

Let the third number be x.

Therefore, according to the Pythagorean triplet,
(17)^2 = (15)^2 + x^2
289 = 225 + x^2
x^2 = 289 - 225
x^2 = 64
x = 8

Hence, the third number is 8, which is option A.

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Solution:

Pythagorean triplet is a set of three positive integers such that the sum of the squares of the two smaller integers is equal to the square of the largest integer.


Given, two numbers are 15 and 17 where 17 is the largest of them.


Let the third number be x.


Therefore, according to the Pythagorean triplet,

(17)^2 = (15)^2 + x^2

289 = 225 + x^2

x^2 = 289 - 225

x^2 = 64

x = 8


Hence, the third number is 8, which is option A.
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Three numbers form a Pythagorean triplet. Two of them are 15 and 17 wh...
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Three numbers form a Pythagorean triplet. Two of them are 15 and 17 where 17 is the largest of them. The third number isa)8b)12c)13d)5Correct answer is option 'A'. Can you explain this answer?
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