Question

Find a Pythagorean triplet whose one member is 35

Answer 1

12,35,37

Step-by-step explanation:

I dont have explanation bro,sorry

Answer 2

Given:

One member of a Pythagorean triplet is 35

To Find:

The other members

Solution:

The Pythagoras theorem describes the relationship between the squared values of the side lengths of a right-angled triangle.

Pythagoras triplets refer to the set of sides of a right-angle triangle that are perfect roots in terms of the Pythagoras theorem.

Right-angled triangles with sides of lengths a, b, and c have the followig Pythagoras relation

$a^{2} + b^{2} = c^{2}$

(c is the hypotenuse side of the triangle)

We can find the unknown Pythogorean triplets using

(2m, m² - 1, m² + 1)

Consider 35 as m² - 1

m² - 1 = 35

m = $\sqrt{35+1} = 6$

The others would be:

2m = 2(6) = 12

m² + 1 = 6² + 1 = 37

Hence, the Pythagorean triplets are (12, 35, 36)