Question
What is the inradius of an equilateral triangle whose vertical height measures 12√3 cm?
Solution
ATQ,
Altitude = (√3a/2)
⇒ (√3a/2) = 12√3
⇒ a = 24 cm
Inradius = a / (2√3) = 24 / (2√3) = 12 / √3 = 4√3 cm
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