Question

One side of an equilateral triangle is 8cm. Find its area by using heron s formula. Find its altitude also

Answer 1

the answer is 16_/3 cm^2 or 27.68cm^2

Answer 2

${\fbox{\huge{\tt{Solution\::}}}}$

• 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