Question

One side of an equilateral triangle measures 8cm. Find its area using Heron’s formula. What is its altitude?

Answer 1

semi perimeter = (8+8+8)/2 = 12 cm

By Heron' Formula
area = √[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

Answer:

semi perimeter = (8+8+8)/2 = 12 cm

By Heron' Formula

area = √[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