You have an equilateral triangle where all sides are . What is the height of the triangle?
Because the angles in an equilateral triangle are all °, you can find the height of the triangle by using the formula for a “°-°-°” triangle. The height becomes one of the legs in a “°-°-°” triangle:
As you can see, the hypotenuse is cm, and the shorter leg of the new triangle is exactly half of the hypotenuse (and half of the length of the side of the original triangle), which is cm.
You then calculate:
The height is therefore about cm.