Function area of △ABC

area of triangle ABC

Format:

area of △ABC

Input:

point A -
point B -
point C -

Output:

number - None

Properties that reference this function:

area of △ABC = area of △BCA (Area Equality)
area of △ABC = area of △CAB (Area Equality (2))
area of quadrilateral ABCD = (area of pentagon ABCDX) + (area of △DAX) (Area of Quadrilateral)
area of pentagon ABCDE = (area of quadrilateral ABCD) + (area of △DEA) (Area of Pentagon)

Conditional properties that reference this function:

  • if m∠abc = 90, then area of △ABC = (((distance AB) ⋅ (distance BC)) ⋅ 1) / 2 (link)
  • if △ABC ≅ △DEF, then area of △ABC = area of △DEF (link)
  • if (distance AB = distance DE) and (m∠ABC = m∠DEF) and (distance BC = distance EF), then area of △ABC = area of △DEF (link)
  • if (m∠ABC = m∠DEF) and (distance BC = distance EF) and (m∠BCA = m∠EFD), then area of △ABC = area of △DEF (link)
  • if m∠ABC = 180, then area of △ACD = area of quadrilateral ABCD (link)
  • if m∠ABC = 180, then area of quadrilateral XABC = area of △XAC (link)


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