Question

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

Answer 1

Define Pythagoras theorem and show that the $6,8,10$ are Pythagorean triplets:

According to the Pythagoras theorem, the square of the hypotenuse side in a right angled triangle is equal to the sum of squares of the other two sides.

$\begin{array}{rcl}{6}^2+8^2& =& 36+64\\ & \Rightarrow & 6^2+8^2=100\end{array}$

And, $\begin{array}{rcl}{10}^2& =& 100\end{array}$

So, $6^2+8^2={10}^2$.

Hence, according to the Pythagoras theorem, the square of the hypotenuse side in a m triangle is equal to the sum of squares of the other two sides. Also, it's is shown that $6,8,10$ are Pythagorean triplets.