Question

Is 28,41,13 a triangle

Answer 1

Given

Three sides = 28 , 41 , 13

Find

Is this a triangle?

Explanation

By using triangle inequality theorem , which states that the sum of two side lengths of triangle is always greater than the third side.

so , here let a = 28 , b = 41 and c = 13

e

$\begin{gathered} a+b>c\Rightarrow28+41=69>13 \\ a+c>b\Rightarrow28+13=41>41,not\text{ true} \\ b+c>a\Rightarrow41+13=54>28 \end{gathered}$

one is not true , so it is not a triangle.

Final answer

Therefore , it is not a triangle.