Question

Is it possible to construct a triangle with sides 1,2, and 3? If not explain why? Please help

Answer 1

A triangle's sides must satisfy these inequalities:

\(x + y > z\)
\(x + z > y\)
\(z + y > x\)

Basically, this says that your triangle cannot have two sides that add up to the same length as a third. (This makes a line segment) or not even enough to add up to that line segment.

Answer 2

Oh ok so it can't right?

Answer 3

Yes, this cannot be a triangle. :)
\(1 + 2 \not \gt 3\)

Answer 4

Thank you soo much

Answer 5

You're welcome! :)