# Equilateral Triangle

• Oct 20th 2010, 10:15 AM
matgrl
Equilateral Triangle
A point lies inside an equilateral triangle with sides of length s. Its distances from the 3 sides are x, y, and z. What can you say about x+y+z? Prove your answer.

I know how to build a diagram for this but I am stuck after that? Any ideas?
• Oct 20th 2010, 11:30 AM
Plato
Is it true that the area of the whole triangle is $\displaystyle \frac{xs}{2}+\frac{ys}{2}+\frac{zs}{2}?$
• Oct 21st 2010, 05:19 AM
matgrl
Yes if we are using an equilateral triangle then this must be true.
• Oct 21st 2010, 05:37 AM
Plato
Quote:

Originally Posted by matgrl
Yes if we are using an equilateral triangle then this must be true.

Well then what is the answer to the question?