Chapter 8, Problem 11MCQ

To determine

The set which is not a Pythagorean triplet.

Answer to Problem 11MCQ

  $D.8,13,15$

Explanation of Solution

Given:

The given triplets are:

  $\begin{array}{l}A.9,12,15\\ B.15,36,39\\ C.21,72,75\\ D.8,13,15\end{array}$

Calculation:

According to the Pythagorean triplet, the square of the longest side is equal to the sum of the squares of other two sides.

Hence, the option D is not a Pythagorean triplet.

  $\begin{array}{l}{15}^2\stackrel{?}{=}{13}^2+8^2\\ 225\stackrel{?}{=}169+64\\ 225\ne 233\end{array}$