# Inscribed circle

Write the equation of an incircle of the triangle KLM if K [2,1], L [6,4], M [6,1].

### Correct answer:

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**Dr Math**

you are right. The coordinates of the incenter are the weighted average of the coordinates of the vertices, where the weights are the lengths of the corresponding sides.

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#### You need to know the following knowledge to solve this word math problem:

**statistics**- weighted average
**geometry**- analytic geometry
**planimetrics**- Pythagorean theorem
- right triangle
- circle
- area of a shape
- triangle

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