Question

Which of the following sets number could not represent the three sides of a right triangle

Answer 1

Given 4 sets of three sides of a triangle

We will find Which of the following sets of numbers could not represent the three sides of a right triangle

First, for any right triangle, the sum of the square of the legs is equal to the square of the hypotenuse

The hypotenuse is the longest side of the triangle

We will check the options:

a) { 11, 60, 61}

`11^2+60^2=121+3600=3721=61^2`

So, option a represent a right triangle

b) {46, 60, 75 }

`46^2+60^2=2116+3600=5716\\e75^2`

So, option (b) does not represent a right triangle

No need to check the other options

So, the answer will be {46, 60, 75}