2 out of 3
Two ladders are propped up against facing walls. At what height do the ladders cross?
2 out of 3
A circle of radius r touches two sides of a right angled triangle, sides x and y, and has its centre on the hypotenuse. Can you prove the formula linking x, y and r?
2 out of 3
Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?
2 out of 3
Can you work out the fraction of the original triangle that is covered by the inner triangle?
2 out of 3
The diagonals of a trapezium divide it into four parts. Can you create a trapezium where three of those parts are equal in area?
2 out of 3
If the hypotenuse (base) length is 100cm and if an extra line splits the base into 36cm and 64cm parts, what were the side lengths for the original right-angled triangle?
2 out of 3
Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?
3 out of 3
A napkin is folded so that a corner coincides with the midpoint of an opposite edge. Investigate the three triangles formed.
3 out of 3
It is impossible to trisect an angle using only ruler and compasses but it can be done using a carpenter's square.
3 out of 3
Using a ruler, pencil and compasses only, it is possible to construct a square inside any triangle so that all four vertices touch the sides of the triangle.
