Many properties have been found hidden in Pascal\u27s triangle. In this paper, we will present several known properties in Pascal\u27s triangle as well as the properties that lift to different extensions of the triangle, namely Pascal\u27s pyramid and the trinomial triangle. We will tailor our interest towards Fermat numbers and the hockey stick property. We will also show the importance of the hockey stick properties by using them to prove a property in the trinomial triangle
