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