Intermediate Geometry : Plane Geometry
Study concepts, example questions & explanations for Intermediate Geometry
All Intermediate Geometry Resources
Example Questions
Example Question #151 : Hexagons
In the regular hexagon above, if the length of diagonal 
When all the diagonals of a hexagon are drawn in, you should notice that the long diagonals, marked by solid lines, form 
Start by using the diagonal to find the length of a side of the hexagon.
Cut the diagonal in half so that we are just left with the height of one equilateral triangle. Notice that the height cleaves the equilateral triangle into two congruent 
Set up a proportion to solve for the length of a side of the triangle.
Plug in the given diagonal to solve for the side length.
Now, recall how to find the area of a regular hexagon:
Plug in the side length that you just found in order to find the area.
Make sure to round to 
Example Question #152 : Hexagons
In the regular hexagon above, if diagonal 
When all the diagonals of a hexagon are drawn in, you should notice that the long diagonals, marked by solid lines, form 
Start by using the diagonal to find the length of a side of the hexagon.
Cut the diagonal in half so that we are just left with the height of one equilateral triangle. Notice that the height cleaves the equilateral triangle into two congruent 
Set up a proportion to solve for the length of a side of the triangle.
Plug in the given diagonal to solve for the side length.
Now, recall how to find the area of a regular hexagon:
Plug in the side length that you just found in order to find the area.
Make sure to round to 
All Intermediate Geometry Resources
