It's easy to work out the areas of most squares that we meet, but what if they were tilted?
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...
A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?
Is it possible to find the angles in this rather special isosceles triangle?
You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?
Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?
