Q8 of 19 Page 54

Are the numbers 12, 5 and 13 form a Pythagorean Triplet?

We know that the numbers which are satisfying the Pythagoras theorem are called the Pythagorean triplets.


We know that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.


In ΔPQR,


⇒ QR2 = PQ2 + PR2


⇒ 132 = 122 + 52


⇒ 169 = 144 + 25


∴ 169 = 169


Since the above numbers satisfy the Pythagoras Theorem, 15, 5 and 13 form a Pythagorean Triplet.


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