# 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: