In this page area of triangle we are going to see the formula to find
area of the shape triangle.

In the lower we have studied about how to find the area for any triangle. We will use the formula is (1/2 ) x base x height if the base and perpendicular height is given.But here we are going to see the another method that is if we are given the three vertices of a triangle we can find the area by using this formula.

Here we are given three vertices. We need to consider those points as

Then we need to apply the appropriate values in the formula.Finally we get the area.Now we are going to see the example problems to this concept.

**Example 1:**

The vertices of a tri angle are (5,2) (-9,-3) and (-3,-5). Find the area

**Solution:**

Let A,B and C be the vertices of the given triangle

A(5,2) B(-9,-3) and C(-3,-5)

Now we have

Area of the triangle ABC = 1/2 {5(-3-(-5)) + (-9) (-5-2) + (-3) (2-(-3))}

= 1/2 {5 (-3+5)) + (-9) (-7) + (-3) (2+3))}

= 1/2 {5 (2) -9 (-7) -3 (5)}

= 1/2 {10 + 63 - 15}

= 1/2 { 73 - 15 }

= 1/2 {58}

= 29 Square Units.

Therefore the area of ABC = 29 square units.

- Area of triangle worksheets
- Section formula
- Area of quadrilateral
- Centroid
- Centroid of the triangle worksheets
- Finding missing vertex using centroid worksheet
- Midpoint
- Distance between two points
- Distance between two points worksheet
- Slope of the line
- Equation of the line
- Equation of line using two points worksheet
- Equation of the line using point and slope worksheets
- Point of intersection of two lines
- Point of intersection Worksheets
- concurrency of straight line
- Concurrency of straight lines worksheet
- Circumcentre of a triangle
- Circumcentre of Triangle Worksheet
- Orthocentre of a triangle
- Orthocentre of Triangle Worksheet
- Incentre of a triangle
- Locus
- Perpendicular distance
- Angle between two straight lines
- Equation of a circle
- With center and radius
- With endpoints of a diameter
- Equation of a circle passing though three points
- Length of the tangent to a circle
- Equation of the tangent to a circle
- Family of circles
- Orthogonal circles
- Parabola
- Ellipse

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