How to find Area of triangle PQR?

Question

ABCDEF is a regular
hexagon of side 12 cm. P. Q and R are the
mid points of the sides AB, CD and EF
respectively. What is the area (in cm2) of
triangle PQR?

Answer 1

 

 60 degrees at each vertex

 

 The triangle formed has side measures 6,6, and 6

 

 dropping the height of the triangle(s), form 2 right

 triangles that are 30-60-90. The base measure

of each right triangle is 3. So the area of the triangle is 18