If the radius of the circumcircle of an equilateral triangle is 6 cm. Then find the radius of its incircle.
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radius of incircle is 3cm
TanajimarutiDeshmukh:
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can u tell me that how you find out the radius of incircle
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Answer:
3cm
Step-by-step explanation:
In an equilateral triangle:
centroid = circumcentre = incentre
As the centroid of any triangle divides the medians in the ratio 2:1, it follows that in an equilateral triangle we have
circumradius : inradius = 2 : 1
Therefore
inradius = circumradius / 2 = 6 cm / 2 = 3cm
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