Can you spot a cunning way to work out the missing length?
Find the area of the shaded region created by the two overlapping triangles in terms of a and b?
Triangle ABC is equilateral. D, the midpoint of BC, is the centre of the semi-circle whose radius is R which touches AB and AC, as well as a smaller circle with radius r which also touches AB and AC. What is the value of r/R?
Find the missing distance in this diagram with two isosceles triangles
The diagonal of a square intersects the line joining one of the unused corners to the midpoint of the opposite side. What do you notice about the line segments produced?
Can you prove Pythagoras' Theorem using enlargements and scale factors?
An equilateral triangle is constructed on BC. A line QD is drawn, where Q is the midpoint of AC. Prove that AB // QD.
A red square and a blue square overlap. Is the area of the overlap always the same?
Weekly Problem 4 - 2008
In the figure given in the problem, calculate the length of an edge.
What fractions can you divide the diagonal of a square into by simple folding?
