Pentagons and The Golden Ratio
- Erin Lockwood
Construct a Regular Pentagon
Look at your picture. Find the triangle that is like triangle EBC in the picture above. What do you notice about this triangle? How can you confirm or disprove your idea?
Finish the Construction
How many triangles similar to the first triangle do you see in the picture now?
How can you confirm that all the triangles are similar? Do the math.
What is the ratio between the longer side of each triangle to the base of each triangle?
How does this pentagon and these triangles relate to the triangles and rectangles in our previous work?