Japanese flower space
A gardener has to create a flower space with specific shapes for his town. He had got this idea :
(The four circles are in contact)
In the big circle into the triangle he’ll plant blue flowers, in the little circles he’ll plant roses ; and the triangle will be with yellow flowers. In the bigger circle he’ll plant some grass.
But he isn’t good at geometry ! He only thinks he must draw a right-angled triangle to start.
You have a circle C1 of centre O, with 10 cm diameter. AB is a diameter. Choose a point C on the circle. Here you have an example.
1°) Explain why the triangle ABC is a right-angled triangle ?
2°) Help the gardener to finish the shape, and explain how you did it ?
3°) You have made a sangaku, it comes from Japan. Search more informations about it, and write it down. You can for examples say :
- What did they appear ?
- What are they made for ?
- … etc…
- You can try to draw other sangakus !
Exercise 1 – Group 9
PS : I promised you yesterday guys, you have your exercise now ^^
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