+159 Triangle DEF is the medial triangle of triangle ABC and triangle XYZ is the medial triangle of triangle DEF. If the perimeter of triangle XYZ is 5, what is the perimeter of triangle ABC?
+130516 By a property of medial triangles, each side of the medial triangle will be parallel to one side of its enclosing triangle....and the length of each of the sides of the medial triangle will be (1/2) the length of its respective parallel side....so....this must mean that the perimeter of triangle DEF will be twice that of the perimeter of triangle XYZ
And ....by like reasoning.....triangle ABC will have twice the perimeter of triangle DEF
So....the perimeter of ABC = 5^(2)^2 = 20 units
