Question

find the Pythagorean triplet whose smallest number is 14.​

Answer 1

Answer:

14,48,50..............

Answer 2

AnSwer -:

The Pythagorean triplet is -:

14 , 48 and 50

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Explanation-:

Given ,

Smallest number is 14

To find,

The Pythagorean triplet

Solution-:

We know that ,

A Pythagorean triplet is -

2m

m² + 1

m² - 1

Now ,

The smallest number is 2 m

So ,

2m = 14

M = 14/2

M = 7

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Value of m² + 1

(7)² + 1

49 + 1

50

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Value of m² - 1

(7)² - 1

49 - 1

48

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Hence ,

The Pythagorean triplet is -:

14 , 48 and 50

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Verification-:

(Hypotenuse)² = (Base)² + (Height)²

Hypotenuse is always the longest side.

(50)² = (48)² + (14)²

2500 = 2304 + 196

2500 = 2500

Therefore,

LHS = RHS


Hence verified

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Pythagorean triples-: A set of three

positive integers that satisfy the

Pythagorean theorem is a Pythagorean

triples.

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