Question

The in-radius of an equilateral triangle is of length 3 cm. then the length of each of its medians is

Answer 1

In the equilateral triangle centroid, incentre, orthocentre, coincide at the same point.
∴ Height / 3 = in radius
∴ Height = Median = 3*3 = 9 cm

Answer 2

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