Brainwave 8

Triangles in the Logo

In floor in the foyer of a school is a tiled design based on a pentagon.

How many triangles are formed?

(Hint: Some triangles are within triangles)

If you repeated the same style of design with a hexagon with every vertex connected to every other vertex, how many triangles in this shape.

Could you use this information to predict how many triangles would be in an octagon where every vertex connected to every other vertex? Explain your answer.

Feature Solution

The feature solution for the problem came from

	What did you have to find out? What materials did you use? How did you think? What strategies did you use? How did you solve this problem? What answers did you come up with?
	Commendable contributors to the problem were: Jack & Hayden; Steven & Alex from Tottenham CS Hamshini & Annie from Homebush West PS
	Solutions were also sent in by: Jacob from Barham PS Sarah, Skye & Hayley; Jeremy; Sarah, Skye, Jess & Emily from Wyalong PS Lilias from Banks PS Chelsea & Shannon from Shellcove PS Brenda & Dharshu from Homebush West PS Rehan, Jenny, Celina, Niamh & Winnie; Maddison & Winnie; Liam & Piers; Gianmarco; Perry & Ethan; Paris & Michelle from Abbotsford PS