A rectangle is made of blue paper, and measures 20 cm by 10 cm.[br][br]A corner is cut off.[br][br]The right angled triangle that is cut off has shorter sides (2p) cm and (p-1) cm.[br][br]What values of p are valid?[br][br]What is the length of the hypotenuse of the triangle that is cut off, in terms of p?[br][br]What is the area remaining, in terms of p?[br][br]Test out both formulae using the slider above.