# Question 3

Given an acute angled triangle \(T\), show that there is a unique tetrahedron whose faces are all congruent to \(T\) and find the volume of this tetrahedron.

## Partial Solution by Billy Smells

Let our acute triangle have side lengths \(a\), \(b\) and \(c\).

We can construct a net for the tetrahedron, as shown below: