Examine the triangles below. Decide if each one is a right triangle. If the triangle is a right triangle, justify your conclusion. Assume that the diagrams are not drawn to scale.  

1. 

   Hint (a):

   What are the angle measures of an equilateral triangle?

   Answer (a):

   No, all the angles must be $60^\circ$.

2. 

   Hint (b):

   Use the Pythagorean Theorem to check. Remember, the hypotenuse is the longest side.

   Answer (b):

   Yes, the side lengths are a Pythagorean Triple.