Notes On Area of Triangle - CBSE Class 10 Maths
Area of triangle = $\frac{\text{1}}{\text{2}}$ x base x  altitude. If a, b and c are sides of a triangle then its area is given by herons formula $\sqrt{\text{s( s - a)(s - b)(s - c)}}$ . Area of a triangle even if its three vertices are given. If (x1, y1), (x2, y2) and (x3, y3) are the vertices of a triangle then its area is given by  $\frac{\text{1}}{\text{2}}$[x1(y2 - y3) + x2( y3 - y1)+ x3(y1 - y2)] square units. If the area of triangle is zero then the points are called collinear points. If three points (x1, y1), (x2, y2) and (x3, y3) are collinear then [x1(y2 - y3) + x2( y3 - y1)+ x3(y1 - y2)] = 0.

#### Summary

Area of triangle = $\frac{\text{1}}{\text{2}}$ x base x  altitude. If a, b and c are sides of a triangle then its area is given by herons formula $\sqrt{\text{s( s - a)(s - b)(s - c)}}$ . Area of a triangle even if its three vertices are given. If (x1, y1), (x2, y2) and (x3, y3) are the vertices of a triangle then its area is given by  $\frac{\text{1}}{\text{2}}$[x1(y2 - y3) + x2( y3 - y1)+ x3(y1 - y2)] square units. If the area of triangle is zero then the points are called collinear points. If three points (x1, y1), (x2, y2) and (x3, y3) are collinear then [x1(y2 - y3) + x2( y3 - y1)+ x3(y1 - y2)] = 0.

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