Question

in an equilateral triangle abc , d is the midpoint ofcab and e is the midpoint of of ac . then ar triangle abc : ar triabgle ade = ?​

Answer 1

In ΔABC, D and E are the midpoints of AB and AC respectively. We know that the ratio of areas of two similar triangles is equal to the ratio of square of their corresponding sides. Hence, the ratio of the areas ΔADE and ΔABC is ar(ΔADE) : ar(ΔABC) = 1 : 4.