Question

third member of pythagorean triplet if two members are 25 and 15.​

Answer 1

Given:

Two members of Pythagorean triplet are 25 and 15.

To find:

Third member ?

Solution:

First of all, let us learn about Pythagorean Triplet.

Pythagorean triplet is triplet (set of 3 members) which represents the three sides of a right angled triangle.

If the triplet is a, b, c,

And therefore follows the following property:

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

We are given 2 of the three values of the triplet.

Let us assume a = 25

b = 15

$c^2=25^2+15^2\\\Rightarrow c^2=850$

Not an integer.

Let c =25, a = 15

$b^2 = 25^2-15^2\\\Rightarrow b = \sqrt{400} = 20$

Third value is 20.

Hence, the triplet is 15, 20, 25.