Question

if each side of an equilateral triangle is 8 cm , then find its altitude.

Answer 1

semi perimeter = (8+8+8)/2 = 12 cm
By Heron' Formulaarea = √[s(s-a)(s-b)(s-c)]        =√[12×4×4×4]        =16√3 cm²
As we know that, area = (1/2)×base×altitude⇒16√3 = (1/2)×8×altitude⇒altitude = 4√3 cm

Answer 2

we know that, area of triangle = (1/2)×base×altitude
⇒16√3 = (1/2)×8×altitude
⇒altitude = 4√3 cm