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CBSE - IX
Areas of Triangles
Lesson Demo
Two figures are said to be on the same base and between the same parallel lines if they have a common base and the vertices opposite to this common base of each figure lie on a line parallel to the base. Out of these two parallel lines, one should be the line containing the common base and the other is the line passing through the vertices of both the figures opposite to the base. We know that any two congruent figures have same area but the converse is not true. Median of a triangle divides it into two triangles of equal area. Two triangles with same base (or equal bases) and equal areas will have equal corresponding altitudes.
Area of triangle is half the product of the base and the corresponding altitude. Also, Triangles on the same base and between the same parallels are equal in area.
Triangles on the same base and having equal areas lie between the same parallels.
