Question

Among the following, a Pythagorean triplet is
a) (12,35,37)
b) (7,48,50)
d) (18,323,325)
c) (16, 63, 65)​

Answer 1

Answer:

a) ( 12,35,37 )

Step-by-step explanation:

By Pythagoras theorem, In a right angled triangle, the sum of squares of the hypotenuse is equal to the sum of squaresof other two sides of the triangle.

From this it is clear that the hypotenuse is larger than the other two sides. So we have to check that the the given triplets are possible for the Pythagoras theorem considering the largest number as hypotenuse and the other two numbers as the other two sides .

$a)37 {}^{2} = 12 {}^{2} + 35 {}^{2} \\ = > 1369 = 144 + 1225 \\ = > 1369 = 1369$

After verifying all the triplets, only the first triplet satisfies the Pythagoras theorem.

Therefore, your required answer is a) (12,35,37)

Answer 2

Answer:

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