Mathematics
Show that :
(i) a diagonal divides a parallelogram into two triangles of equal area.
(ii) the ratio of the areas of two triangles of the same height is equal to the ratio of their bases.
(iii) the ratio of the areas of two triangles on the same base is equal to the ratio of their heights.
Related Questions
In the figure given alongside, squares ABDE and AFGC are drawn on the side AB and the hypotenuse AC of the right triangle ABC.
If BH is perpendicular to FG, prove that :
(i) △ EAC ≅ △ BAF
(ii) Area of the square ABDE = Area of the rectangle ARHF.
In the following figure, DE is parallel to BC. Show that :
(i) Area (△ ADC) = Area (△ AEB)
(ii) Area (△ BOD) = Area (△ COE)
In the given figure; AD is median of △ ABC and E is any point on median AD. Prove that Area (△ ABE) = Area (△ ACE).
