If 8-15 and c form a Pythagorean triplet then the value of c isA- 17B- 14C- 18D- 16

The correct option is A 17 For any natural number m gt; 1, we have (2m)2 + (m2 – 1)2 = (m2 + 1)2 . So, 2m, m^2 1 and m^2 + 1 form a Pythagorean triplet. ...

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Standard VII

Mathematics

Pythagoras Triplets

If 8,15 and c...

Question

If 8, 15 and c form a Pythagorean triplet then the value of c is

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Solution

The correct option is C
17

For any natural number m > 1,

we have (2m)² + (m² – 1)² = (m² + 1)² .

So, $2 m, m^{2} - 1$ and $m^{2} + 1$ form a Pythagorean triplet.

Here, 2m = 8 or m = 4, then (m² – 1) = 16 - 1 = 15.

Therefore, c = ( $m^{2} + 1$ ) = 16 + 1 = 17.

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If 8, 15 and c form a Pythagorean triplet then the value of c is

The correct option is C 17 For any natural number m > 1, we have (2m)2 + (m2 – 1)2 = (m2 + 1)2 . So, 2m,m2−1 and m2+1 form a Pythagorean triplet. Here, 2m = 8 or m = 4, then (m2 – 1) = 16 - 1 = 15. Therefore, c = (m2+1) = 16 + 1 = 17.

The correct option is C
17

For any natural number m > 1,

we have (2m)² + (m² – 1)² = (m² + 1)² .

So, $2 m, m^{2} - 1$ and $m^{2} + 1$ form a Pythagorean triplet.

Here, 2m = 8 or m = 4, then (m² – 1) = 16 - 1 = 15.

Therefore, c = ( $m^{2} + 1$ ) = 16 + 1 = 17.