You may also like

problem icon

Triangle Midpoints

You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?

problem icon

Pareq Exists

Prove that, given any three parallel lines, an equilateral triangle always exists with one vertex on each of the three lines.

problem icon

The Medieval Octagon

Medieval stonemasons used a method to construct octagons using ruler and compasses... Is the octagon regular? Proof please.

Squirty

Age 14 to 16 Challenge Level:

Can you draw a square  ABCD with BC on the base PR of the triangle and the vertex D on the side PQ using ruler and compasses?

 

Small square drawn in left-hand corner of the triangle

 

What happens to the point A as you enlarge the square? The interactivity may help.


How can you use this to help you draw the square you require?