Question
If the perpendicular from a vertex of an equilateral
triangle to the opposite side is 15√3 cm, find its inradius.Solution
ATQ,
Altitude = (√3a/2)
⇒ (√3a/2) = 15√3
⇒ a = 30 cm
Inradius = a / (2√3) = 30 / (2√3) = 15 / √3 = 5√3 cm
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