Exploring diagonals

Move the corner of the rectangle. Can you work out what the purple number represents?

Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem





Move the top right-hand corner of the rectangle.

Can you work out what the purple number represents?



What would be the dimensions of a rectangle with a purple number of 24? Is there more than one?

If I tell you the coordinates, can you find a quick way to work out the purple number?

What other interesting questions might you explore?