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# Triangular Coordinate System

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 Sub Topics A packed figure which has three sides is known as triangle. Here we will see some properties of triangle. In a triangle the corner Point is known as the vertex of a triangle. In a triangle three vertices are present. The distance measured around a triangle is known as perimeter of a triangle. The sum of interior angles of a triangle is always 1800. Now we will see Triangular coordinate system. For finding the Area of Triangle when coordinates are given we need to follow some steps: Step1: First we will find vertices of triangle. Step2: For finding area, a formula is defined which is given below. The formula is given below. Area of triangle = |Fx (Gy – Fy) + Gx (Hy – Fy) + Hx (Fy – Gy)|, 2 Where ‘Fx’ and ‘Fy’ are the ‘x’ and ‘y’ of ‘F’ point. Step 3: On putting values of all coordinates in formula we get area of triangle. Suppose we have coordinates of a triangle P (3, 5), Q (5, 6) and R (10, 6), then by using these coordinates we find area of triangle. For finding the area of triangle we need to follow above steps. Here coordinates are F = (3, 5), G = (5, 6), H = (10, 6); We know the formula for finding the area of triangle with vertices is given by: Area of triangle = | Fx (Gy – Fy) + Gx (Hy – Fy) + Hx (Fy – Gy) |, 2 Now put the values in the given formula: On putting the values we get: Area of triangle = | 3 (6 – 5) + 5 (6 – 5) + 10 (5 – 6) |, 2 Area of triangle = | 3 (1) + 5 (1) + 10 (-1) |, 2 Area of triangle = | 3 + 5 + 10|, 2 Area of triangle = 18/2; So the area of triangle is 9 inch2.