Question

Let the incircle of ΔABC have radius 2 and let it be tangent to BC at X. Suppose |BX| = 3 and |XC| = 4. What is the exact length of ΔABC? No trig functions should be used.

Answer 1

According to my calculations, the longest side should be 5. As long as ABC is a right triangle.

Answer 2

It would be an arbitrary triangle, though, no guarantees whatsoever that it would be a right triangle.

Answer 3

Alright. Give me a minute u have this down in my Geometry math journal I will just have to find it.