Area(ΔABC) AB^{2} BC^{2} AC^{2} ----------- = ---------= -------- = ------- Area(ΔDEF) DE^{2} EF^{2} DF^{2} |
1) The areas of two Similar-Triangles are in the ratio of the squares of the corresponding altitudes. 2) The areas of two Similar-Triangles are in the ratio of the squares of the corresponding medians. 3) The areas of two similar-triangles are in the ratio of the squares of the corresponding angle bisector segments. 4) If the areas of two similar-triangles are equal, then the triangles are congruent .i.e equal and similar triangles are congruent. |
Area(ΔABC) BC^{2} ------------ = ------ Area(ΔDEF) EF^{2} |
Area(ΔABC) 16 -------------- = ------- Area(ΔDEF) 25 |