Two sides

By: Tim Lehman

Given:

Construction:

Construct segment **c** (with endpoints
**A** and **B**). Draw the circle centered at **A** with
radius length of **b**. Let **L** be a point on this circle
and construct the segment from **L** to **B** with **M**
as its midpoint. Let **K** be the midpoint of **c**.

Construct the circle centered at **A** with
radius of the length of the median of **a** and the circle
centered at **K** and passing through **M**. The intersection
of these two circles (point **N**) is the midpoint of side
**a**.

We can find vertex **C **by constructing
the circle centered at** N** and passing through **B** and
finding its intersection with the first circle constructed centered
at **A**. All vertices have all been found and the triangle
can be constructed.

**Click here**** **for a GSP sketch.