Question

An equilateral triangle has a side length of 6. What is the height of the triangle?

Answer 1

I got `5.2`

Explanation:

Consider your triangle:

The yellow half is a right triangle where we can use Pythagoras Theorem to get:

`6^2=3^2+h^2`

rearranging:

`h=sqrt(6^2-3^2)=5.19~~5.2`