An equilateral triangle of side $5$ cm, find the approximate measure of its inradius.

1.8

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1.9

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1.4

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None of the above

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Solution

The correct option is B $1.4$ cm
Given, length of side of equilateral triangle $= 5 c m$ .
In-radius of an equilateral triangle $= \frac{a}{2 \sqrt{3}}$
where $^{'} a^{'}$ is the length of side of the triangle.
In-radius $= \frac{5}{2 \sqrt{3}} \approx 1.4 c m$ .

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