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 Is EC a side in one of the triangles?
00:03 Let's check the sides of each triangle, starting with ABC
00:07 Let's write all of its sides
00:12 In this triangle there is no EC side, let's move to the next triangle DEF
00:16 Let's write all of its sides
00:26 In this triangle too, EC is not a side
00:32 And this is the solution to the question

Step-by-Step Solution

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

Its sides are: AB, BC, CA

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

Let's go over the triangle on the right side:

Its sides are: ED, EF, FD

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

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

Answer

No.