### Building Tetrahedra

Can you make a tetrahedron whose faces all have the same perimeter?

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?

### Areas and Ratios

What is the area of the quadrilateral APOQ? Working on the building blocks will give you some insights that may help you to work it out.

# Triangular Teaser

##### Stage: 4 Short Challenge Level:
See all short problems arranged by curriculum topic in the short problems collection

The triangle $T$ has sides of length $6$, $5$, $5$. The triangle $U$ has sides of length $8$, $5$, $5$.
What is the ratio area $T$ : area $U$?

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.