Triangle Side Identification: Determining if EC is a Valid Triangle Side

Question

Look at the two triangles below. Is EC a side of one of the triangles?

00:05 Let's see if E C is a side in one of the triangles.

00:09 First, check the sides of triangle A B C.

00:14 Write down all the sides of triangle A B C.

00:18 E C is not a side in triangle A B C. Let's look at triangle D E F.

00:24 Now, list all the sides of triangle D E F.

00:31 E C is not a side here either.

00:37 And that's our solution! E C is not a side in either triangle.

Every triangle has 3 sides. First let's go over the triangle on the left side:

Its sides are: AB, BC, and CA.

This means that in this triangle, side EC does not exist.

Let's then look at the triangle on the right side:

Its sides are: ED, EF, and FD.

This means that in this triangle, side EC also does not exist.

Therefore, EC is not a side in either of the triangles.