A triangle has side lengths of 14, 23, and 27. Is it a right angle ?

No, it is not

Step-by-step explanation:

Here, we want to check if the lenghts given is that of a right angle triangle

For a right angle triangle, the square of the hypotenuse is equal to the sum of the squares of the two other sides

The hypotenuse represents the longest side

So 27^2 = 14^2 + 23^2

The difference between these is 4, and as such the triangle is not a right angled