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)|,
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) |,
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) |,
Area of triangle = | 3 (1) + 5 (1) + 10 (-1) |,
Area of triangle = | 3 + 5 + 10|,
Area of triangle = 18/2;
So the area of triangle is 9 inch2.
Area of triangle in coordinate Geometry Coming Soon..
Heron’s formula is used for calculating the Area of Triangle, it uses semi perimeter for calculation of area. Semi perimeter is given by:
S = ½ (p + q + r)
The area of the triangle by the heron s formula is given as:
A =...Read More
A packed or closed shape which contains three lines linked end to end is known as triangle. It is a kind of Polygon. There are different properties which are given below:
Three corner points are present in a tr...Read More