text: the ratio of the corre. sides of 2 similar triangles...? the ratio of the corresponding sides of 2 similar trianges is 5 to 9. what is the ratio of their areas? since the base of one triangle is 9/5 of the other, the height of this triangle is also 9/5 of the other.  area1 = (base)(height)/2 therefore area2 = ((9/5)base)((9/5)height)/2                           = (9/5)^2 [(base)(height)/2] therefore the area of the larger triangle will be (9/5)^2 = 81/25 times that of the smaller triangle