what is formula of a traingle
Answer (1)
The most common formula for the area of a triangle is: [tex]\begin{gathered}\begin{gathered}{Area} = \frac{1}{2} \times \text{base} \times \text{height}\end{gathered}\end{gathered}[/tex]where "base" is the length of one side of the triangle and "height" is the perpendicular distance from that base to the opposite vertex.There are other formulas depending on the information available:Heron's formula (when the lengths of all three sides a, b, and c are known): [tex]\begin{gathered}\begin{gathered}\text{Area} = \sqrt{s(s - a)(s - b)(s - c)}\end{gathered}\end{gathered}[/tex]where [tex]s = \frac{a + b + c}{2}[/tex] is the semi-perimeter.Using two sides and the included angle (when two sides and the angle between them, θ, are known): [tex]\begin{gathered}\begin{gathered}\text{Area} = \frac{1}{2} \times a \times b \times \sin(\theta)\end{gathered}\end{gathered}[/tex]Equilateral triangle area formula (when all sides are equal, side length =[tex]s[/tex]): [tex]\begin{gathered}\begin{gathered}\text{Area} = \frac{\sqrt{3}}{4} \times s^2\end{gathered}\end{gathered}[/tex]
