Question

what is the formula for the area of a triangle?

Answer 1

\[A_{Triangle} = \frac12bh\]

Answer 2

Or : \[\large{\textbf{Area of a triangle ABC}=\sqrt{s(s-a)(s-b)(s-c)}}\]
\[\large{\textbf{Area of a triangle ABC}}\]
\[\large{s=\frac{a+b+c}{2}}\]
\[\large{a,b,\textbf{and},c \space \textbf{are the sides of the triangle ABC}}\]

Answer 3

The above formula is : \(\large{\textbf{Heron's formula}}\)

Answer 4

There are also several variations of the formula.
\[A = \sqrt{s(s - a)(a - b)(s - c)}\]Above is Heron's Formula where s = semi-perimeter and a, b, and c are the sides of the triangle.\[A = \frac{s^2\sqrt{3}}{4}\]Above is the formula for the area of an equilateral triangle.