Question

Two similar triangles have corresponding sides measuring 3 cm and 7 cm determine the ratio of their respective areas

Answer 1

If two similar triangles have side lengths 3cm and 7cm then we can determine that the scale factor for the lengths is: 7/3

Now, we have to work out the area scale factor !

This is simple, since area is given in cm² then all we have to do is square our original scale factor!

So,

7/3² = 49/9

So, we can say that the ratio of the area would be:

x : 49/9x

Hope this helps! <3