4
Complete and write any two of the following activities :
(1) Complete the following activity to prove that (3, 5, 4) is a Pythagorean triplet.
In a triplet, if the of the largest number is equal to the sum of the
squares of the remaining two numbers, then the group of these three numbers
is called a Pythagorean triplet.
In the numbers (3, 5, 4), the largest number is
2
52
and 32 +
9+16=25.
:52 = 32 +4²
..(3, 5, 4) is a Pythagorean triplet.
Answers
Answered by
2
Answer:
Your answer is 25
Step-by-step explanation:
It is known that, if in a triplet of natural
numbers, the square of the biggest number
is equal to the sum of the squares of the
other two numbers, then the three numbers
form a Pythagorean triplet.
The given set of numbers is (3, 4, 5).
The biggest number among the given set is
5.
5
2
= 25; 42
= 16; 32
= 9
Now, 16 + 9 = 25
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Answered by
4
Step-by-step explanation:
In the triplet ( 3,5,4)
3
2
=9,5
2
=25,4
2
=16 and 9+16=25
The square of the largest number is equal to the sum of the square of the other two numbers.
∴(3,5,4) is a pythagorean triplet .
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