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?

AAABBBCCCDDDEEEFFF

Video Solution

Solution Steps

00:00 Determine whether EC is a side in one of the following triangles
00:03 Check the sides of each triangle, starting with ABC
00:07 Proceed to write down all of its sides
00:12 In this triangle EC is not present, hence we will move to the next triangle DEF
00:16 Once again write down all of its sides
00:26 In this triangle too, EC is not present
00:32 This is the solution

Step-by-Step Solution

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.

Answer

No