Are the triangles similar? If they are, identify the similarity ratio.

Question

anonymous · Answer

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anonymous · Answer

@Directrix

directrix · Answer

Take the 3 sides of the left triangle and arrange the lengths in ascending order:
3, 5, 6

Take the 3 sides of the right triangle and do the same:
9, 15, 18

directrix · Answer

To test the triangles for similarity using the SSS Triangle Similarity Theorem, form an extended proportion and see if all the ratios of it are equal.

anonymous · Answer

do you put 3/5,  5/15, 6/18 then simplify?

anonymous · Answer

No, they don't equal to each other, so does that mean they're not similar?

directrix · Answer

I typed one of the sides incorrectly.

So, does 3/9 = 5/15 = 6/18 ?  @kevincourtes   Yes or no. Yes, simplify to see if all three are equal.

directrix · Answer

3/9 = 5/15 = 6/18 ?

directrix · Answer

@kevincourtes  We are not finished with this problem.

anonymous · Answer

@Directrix sorry, i was helping someone, the ratio would be 1:3 right?

anonymous · Answer

since you can simplify all to 1/3

directrix · Answer

Yes, the triangles are similar with scale factor 1:3.

anonymous · Answer

ahh thank you @Directrix you genius!

anonymous · Answer

@Directrix can you help me with one last one?

anonymous · Answer

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directrix · Answer

I can't determine where x and y are on the diagram. Is this correct?
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