How do find area of traingle?

Answer 1

There are many different ways, depending on what information you have and in what form.

• If you know two sides, x and y, and the included angle Z then the area is 1/2*x*y*sin(Z).
  
• If you know all three sides, x, y and z then use Heron's formula. Calculate s = (x + y + z)/2 then area = sqrt[s*(s-x)*(s-y)*(s-z)]
  
• If you have the coordinates of the vertices, then the area is the determinant of the 3x3 matrix formed by the coordinates and a row (or column) of 1s.

Answer 2

Area of a triangle: 0.5*base*perpendicular height