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.

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.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

mathmate · Answer

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