Question

Everything's explained in picture, find length of side y on the right triangle. Both of the triangles are similar. Thanks

Answer 1

y = 5 1/3 cm

Explanation:

Since the triangles are similar, the ratio of sides opposite angles with the same measurements are equal. This is called the ratio of similitude.

This means that, AB:DE = BC:EF = AC:DF.

We can use the AB:DE = 6:4 since both sides are given. This ratio is the same for each pair of sides.

Now, use this ratio to solve for y: AC:DF = 8:y = 3:2

Cross-multiply to receive that y is 16/3 or 5 1/3.