Math, asked by 1334moon, 9 months ago

All numbers of a pythagorean triplets are odd (true or false ) Analyse your answer with two examples

Answers

Answered by pesh20gathoni
4

Answer:

First let's see what is meant by Pythagorean Triplets

A Pythagorean triplet is a set of 3 Natural numbers in which the square of the greatest number is equal to the sum of squares of the other two numbers.

(7, 24, 25) is an example of a Pythagorean Triplet.

The square of greatest number 25²= 625

The sum of squares of other two numbers= 7²+24²=49+576=625

Thus it can be observed that 25²=24²+7²

We can therefore state (7, 24, 25) as a Pythagorean Triplet

                                                                                               

Let us see some more examples of Pythagorean Triplets.

5²= 25

3²+4²=9+16=25

∴5²=3²+4²

(3, 4, 5) is another example of Pythagorean Triplets

                                                                                           

13²=169

12²+5²=144+25=169

∴13²=12²+5²

(5, 12, 13) is also a Pythagorean Triplet.

                                                                                           

We have verified that (7, 24, 25); (3, 4, 5) and (5, 12, 13) are Pythagorean triplets. It can be noticed that there is one even number each in the above verified triplets.

∴The statement that all numbers of Pythagorean Triplets are odd is false.

                                                                                               

Answered by indrakantikaruna
1

Answer:

false ...............................

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