1. The perimeter of a triangle is 12 and its inradius is 1. What is the area of the triangle?

2. is the incenter of Triangle ABC. We have CE=12, AE=9, and AB=12. Find BC.

Guest Nov 11, 2019

#2**0 **

1. We can assume that the triangle is equilateral, so the area is sqrt(3)/4*(12/2)^2 = 9 sqrt(3).

2. From similar triangles, BC = (12 + 12)/(12 + 9)*12 = 96/7.

Guest Nov 11, 2019