What is the altitude of an equilateral triangle with side 4 cm?

Or alternatively what is the ratio of the sides in a 30-60-right triangle?

Last option: a right triangle has hypotenuse 4 and one side 2. What is the length of the other side?

Draw a figure!!!

A regular hexagon is made up of 6 equilateral triangles.

The apothem of the hexagon is the same as the altitude of one of those triangles.

The altitude of the equilateral triangle divides it into 2 congruent 30-60 right triangles.

The hypotenuse of one of those 30-60 right triangles is the side of the hexagon, i.e. 4.

The short side of one of those triangles is 1/2 of the side, i.e. 2.

The altitude is the long side of the right triangle and the theorem of Pythagoras tells you that the long

side is sqrt(4^{2} - 2^{2}) = sqrt(12) = 2sqrt(3).

Also for future reference for you, in a 30-60 right triangle the ratio of the sides is 2:1:√3.

Tiffanee L.

I'm still not sure I get it. I can't figure out the answer05/17/21