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

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

AAABBBCCCDDDEEEFFF

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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.

Step-by-step written solution

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1

Understand the problem

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

AAABBBCCCDDDEEEFFF

2

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.

3

Final Answer

No

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