Two ladders are propped up against facing walls. At what height do the ladders cross?
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?
A red square and a blue square overlap. Is the area of the overlap always the same?
Can you work out the fraction of the original triangle that is covered by the inner triangle?
The diagonals of a trapezium divide it into four parts. Can you create a trapezium where three of those parts are equal in area?
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?
Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?
