You may also like

problem icon

Look Before You Leap

The diagonals of a square meet at O. The bisector of angle OAB meets BO and BC at N and P respectively. The length of NO is 24. How long is PC?

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

Trapezium Four

The diagonals of a trapezium divide it into four parts. Can you create a trapezium where three of those parts are equal in area?

Points in Pairs

Stage: 4 Challenge Level: Challenge Level:1
This problem covers an important use of similar triangles in an orientation less frequently met in schools