answersLogoWhite

0

For two sides to be parallel they must not meet at a point (vertex).

A triangle has only 3 sides.

Let the vertices of a triangle be ABC; then the 3 sides of the triangle are AB, AC and BC.

The sides AB and AC meet at vertex A, so they cannot be parallel.

The sides AB and BC meet at vertex B, so they cannot be parallel.

So Side AB is not parallel to AC (meets at vertex A) and not parallel to BC (meets at vertex B).

The only possibility left is that side BC is parallel to side AC.

But the sides BC and AC meet at vertex C so they cannot be parallel.

Thus none of the sides of a triangle can be parallel.

User Avatar

Wiki User

8y ago

Still curious? Ask our experts.

Chat with our AI personalities

BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake
EzraEzra
Faith is not about having all the answers, but learning to ask the right questions.
Chat with Ezra
ViviVivi
Your ride-or-die bestie who's seen you through every high and low.
Chat with Vivi

Add your answer:

Earn +20 pts
Q: Why can't a triangle have parallel sides?
Write your answer...
Submit
Still have questions?
magnify glass
imp