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- llafferLv 71 month agoFavourite answer
Since the triangles are similar the ratio between like-sides from one triangle to the other is a constant ratio.

Looking at the sides opposite the 30° angle, the ratio of small over large is:

3/15 = 1/5

So the ratio of the other sides has this same ratio:

adjacent to 30°:

4 / (2y) = 1/5

hypotenuse:

x / 25 = 1/5

Now solve for both unknowns:

4 / (2y) = 1/5 and x / 25 = 1/5

2y = 20 and x = 25/5

y = 10 and x = 5

- billrussell42Lv 71 month ago
if they are similar, then sides are all in the same ratio:

4/2y = 3/15 = x/25

4/2y = 3/15

6y = 50

y = 10

3/15 = x/25

15x = 75

x = 10

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