Two triangles are similar. The ratio of their areas is 1:4. If the height of the smaller triangle is 3 cm, how long is the corresponding height of the larger triangle, in centimeters?
I know that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides or heights. So, if the ratio of the areas is 1:4, then the ratio of the heights is 1:2. Since the smaller triangle has a height of 3 cm, the larger triangle has a height of 6 cm.

