Question

verify whether 5,12,15 are the Pythagorean triples or not​

Answer 1

$\huge{\star}{\underline{\boxed{\red{\sf{Answer :}}}}}{\star}$

We are given Pythagoras Triplets :- 5 , 12 , 15

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As the largest side is always hypotenuse then

•°• Hypotenuse = 15 units

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•°• Base = 5 units

•°• Height = 15 units

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Now put values in Pythagoras Theorem

$\huge{\boxed{\boxed{\sf{H^2 \: = \: B^2 \: + \: P^2}}}}$

We get :-

$\large{\sf{15^2 \: = \: 12^2 \: + \: 5^2}}$

$\large{\implies}{\sf{225 \: = \: 144 + 25}}$

$\huge{\implies}{\boxed{\blue{\sf{225 \: \neq \: 169}}}}$

So, It is not a Pythagoran triplet because

H² ≠ B² + P²

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