Question

Which of the following is a Pythagorean triplet?
(a) (100, 2499, 2501) (6) (30, 36, 40) (c) (150, 22500 22501) (d) (40,46,52)
solve each one with steps don't direct
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Answer 1

Option A)

Explanation:

Since three numbers to become Pythagorean Triplet,

a²+b²=c²

Take Option-1:

As u know, c will always be the greatest number.

So here the greatest number is 2501

So Let's check what is 2501²-2499²

= This is of the form a²-b²

So it can be written as (a+b)(a-b)

So..

(2501+2499)(2501-2499)

=5000×2

=10000

So √10000=100

So the option matches..

Answer 2

I think....

⭕OPTION "A" IS CORRECT.....

EASY WAY TO FIND IT OUT...

✍️✍️✍️

square of the last most digit of starting two numbers and add them to just find the last digit of the third number...

Ex __

100, 2299 and 2501

Square of last digit of 100 i.e. "0"=0

Square of last digit of 2499 i.e. "9"=81

Now in 81 last most digit is same as the last digit of third no. (2501)

i.e. The "1".

I HOPE IT IS HELPFUL ❤️

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