Question

state if the three measures can be side lengths of a triangle 7,5,413,13,1

Answer 1

To find out if three lengths are the sides of a triangle we need to remember that the triangle inequality theorem. This theorem states that: the sum of two side lengths of a triangle is always greater than the third side.

This means that:

$a+b>c$

For the lengths a=13 b=13 and c=1 we notice that:

$\begin{gathered} 13+13>1 \\ 26>1 \end{gathered}$

This means that this lengths can be the side of a triangle.

This triangle is an acute, isosceles triangle.