Question

If △AYB∼△XYZ
, AB=5
, AY=12
, and AY=AX
, what is the length of YZ
?

Answer 1

I’m missing something in the statement — as written the data do not determine YZ. A few points to clarify:

- When you write "△AYB ∼ △XYZ" the correspondence is A↔X, Y↔Y, B↔Z (order matters). Is that the intended correspondence?
- Does AX refer to a segment in the picture (the distance between points A and X), or did you mean a side of one of the triangles (for example did you mean AX = AY inside one of the triangles)?
- Can you upload or describe the diagram or any other given lengths/angles?

Brief explanation why more info is needed: from the similarity with A↔X, Y↔Y, B↔Z we get XY/AY = XZ/AB = YZ/YB. Given AY = 12 and AB = 5 this only fixes XY and XZ up to the similarity ratio; without either YB, XY, or the similarity ratio (or a relation fixing the ratio) the value of YZ is not determined. Send the diagram or clarify the intended correspondence/meaning of AX and I’ll finish the solution.