Chapter 8.3, Problem 3CE

To determine

To Identify: Identify whether the given sides are the sides of acute angle triangle, right angles or obtuse angle.

Answer to Problem 3CE

Such type of triangle is not possible.

Explanation of Solution

Given information: We have the given of triangle of sides 1, 4, 6

Let ABC be a triangle.

Also let a = 1, b = 4 and c = 6

We know that a triangle is possible only when the sum of any two sides are greater than third side.

Here we see

  $\begin{array}{c}1+4=5\\ \cancel{>}6\end{array}$

So, $a+b\cancel{>}c$

Therefore such type of triangle is not possible.