Question

Find the Pythagorean triplet whose greatest number is 5?
A) (5,1,2)
B) (4,5,8)
C) (2,3,5)
D) (3,4,5)​

Answer 1

Given,

The greatest number of a Pythagorean triplet is 5.

To find,

The necessary Pythagorean triplet.

Solution,

Now, the greatest number of the triplet is 5, which means the length of the hypotenuse of a right angled triangle is 5 units. Because, hypotenuse is the biggest side of any right angled triangle.

Now, we have to choose the correct option which will satisfy the Pythagoras theorem.

Here, c = 5

c² = 25

So, we need (a²+b²) = 25

For, first option = (1)²+(2)² = 1+4 = 5 ≠ 25

For, second option = (4)²+(8)² = 16+64 = 80 ≠25

For, third option = (2)²+(3)² = 4+9 = 13 ≠ 25

For, fourth option = (3)²+(4)² = 9+16 = 25 (correct)

Hence, the Pythagorean triplet will be (3,4,5) where 5 is the greatest number.

Answer 2

HELLO DEAR,

GIVEN:- Pythagorean triplet whose greatest number is 5.

To find:- The pythagorean triplet.

SOLUTION:-

A Pythagorean triplet consists of the three positive integers a,b and c, such that a^2 + b^2 = c^2.

So, from the above option ,we have to satisfy the Pythagorean triplet condition.

A) (5,1,2)

1^2 + 2^2 = 5^2

1+ 4 = 25

It does not hold.

B) (4,5,8)

4^2 + 5^2 = 8^2

16 + 25 = 64

41 = 64

It does not hold.

C) (2,3,5)

2^2 + 3^2 = 5^2

4 + 9 = 25

13 = 25

It does not hold.

D) ( 3,4,5)

3^2 + 4^2 = 5^2

9 + 16 = 25

25 = 25

It hold.

Therefore option (D) (3,4,5) is correct .

I HOPE IT'S HELP YOU DEAR,

THANKS.