The in-radius of an equilateral triangle is of length 3 cm. then the length of each of its medians is
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In the equilateral triangle centroid, incentre, orthocentre, coincide at the same point.
∴ Height / 3 = in radius
∴ Height = Median = 3*3 = 9 cm
∴ Height / 3 = in radius
∴ Height = Median = 3*3 = 9 cm
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Answer:
9 cm
Step-by-step explanation:
In radius given 3 cm
We know
In radius = side/2√3
So
Side = In radius × 2√3
= 3 × 2√3
= 6√3
Length of Medians = √3/2 × side
= √3/2 × 6√3
= 6×√3×√3 / 2
= 6×3/2
= 9 cm
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