Answer:
In two similar triangles, the ratio of their areas is the square of the ratio of their sides. In the figure above, the left triangle LMN is fixed, but the right one PQR can be resized by dragging any vertex P,Q or R. As you drag, the two triangles will remain similar at all times. Notice that the ratios are shown in the upper left.
example:
If 2 triangles are similar, their areas . are the square of that similarity ratio (scale factor) For instance if the similarity ratio of 2 triangles is $\frac 3 4 $ , then their areas have a ratio of $\frac {3^2}{ 4^2} = \frac {9}{16} $ Let's look at the two similar triangles below to see this rule in action.
Step-by-step explanation:
