How do I construct a triangle ABC when AB is 6cm, AC is 8cm and a median AD is 5cm?

Answer 1

By using the Apollonius Theorem, m_a = sqrt((2b²+2c²-a²)/4). Since you know x_a=5, b=6 and c=8, you need only solve for a, which is the length of the third side.

Answer 2

Cannot be done under the rules of "construction."