Question

The side length of an equilateral triangle is 6 cm. What is the height of the triangle?

Answer 1

Use Pythagorus. All sides are equal so they’re all going to be 6cm. split the triangle in half. 6^2-3^2=27. Square root that to get 5.19

Answer 2

You would take the midpoint of one of the sides (3) and do the pythagorean theorem to find the height.

a^2+b^2=c^2
3^2+x^2=6^2
9+x^2=36
x^2=27
x=5.196 cm or 3sqrt(3)