The incenter of a triangle is equidistant from all sides of the triangle
The incenter is the center of the biggest circle that can be drawn in the triangle, and is called incircle
The incircle will be tangent to all sides of the triangle.
Observation:
In an equilateral triangle the incenter, circumcenter, and centroid are all the same
Answer:
40 : 27
Step-by-step explanation:

Turn into improper fractions:

Make them integers by multiplying them by 12:
40 : 27
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2.72 is the shortened version.