Question

Write statement of Pythagoras theorem and show that 6, 8 and 10 are Pythagorean triplets.

Answer 1

Pythagoras Theorem: Square of the length of the hypotenuse of a right angled triangle is the sum of the squares of the lengths of other two sides.

In right angled triangle, hypotenuse is the greatest side.
So, hypotenuse $=$ 10

$\Rightarrow (hypotenuse{)}^2={10}^2=100$

Now, $6^2+8^2=36+64=100$

$\Rightarrow {10}^2=6^2+8^2$

Thus, 6, 8 and 10 are pythagorean triplets.