Question

What is the length of AM?

Answer 1

This is a 30° - 60° - 90° triangle.

AM and CM are the legs of this right triangle.

AM = Longer leg and CM = Shorter leg.

So in this special triangle the relation ship between longer and shorter legs is as follows:

Longer Leg (AM here) = Sqrt (3) times Shorter Leg

Answer 2

\[Longer \space Leg \space (AM) = \sqrt{3} \times Shorter \space Leg \space (CM)\]