You may also like

problem icon

Golden Thoughts

Rectangle PQRS has X and Y on the edges. Triangles PQY, YRX and XSP have equal areas. Prove X and Y divide the sides of PQRS in the golden ratio.

problem icon

Ladder and Cube

A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?

problem icon

Days and Dates

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

Weekly Problem 9 - 2015

Stage: 3 and 4 Challenge Level: Challenge Level:1

Jack's teacher asked him to draw a triangle of area $7\textrm{ cm}^2$. Two sides are to be of length $6\textrm{ cm}$ and $8\textrm{ cm}$. How many possibilities are there for the length of the third side of the triangle?


This problem is taken from the UKMT Mathematical Challenges.

View the previous week's solution
View the current weekly problem