The triangles are similar. the area of the larger triangle is 1360 cm². what is the area of the smaller triangle? smaller triangle is labeled 16 cm. larger triangle is labeled 64 cm (they are both scalene triangles)

If two triangles are similar, the correspondant angles are in the same proportion.

This means that, in order to obtain a certain side of the smaller triangle, you have to divide the larger side by a fixed ratio.

We're given the example of two correspondant angles, labeled 64 and 16. Since 16 is one-fourth of 64, the scale factor is 1/4.

The areas of the two triangles are not exactly in this ratio, instead they follow the square of this ratio.

So, if the smaller sides are 1/4 of the larger sides, the smaller area is 1/16 of the larger area.

So, the smaller area is