Fill in the blanks so that the following statements are true:

The correspondence ABC ↔ ZXY is a similarity in ΔABC and ΔXYZ. If AB = 12, BC = 9, CA = 7.5 and ZX = 10, then YZ + XY = ____.

Given: The correspondence ABC ↔ ZXY is a similarity in ∆ABC and ∆XYZ.

AB = 12,

BC = 9,

CA = 7.5 &

ZX = 10

To find: YZ + XY = ?

Now by definition, for a given correspondence between the vertices of two triangles, if the corresponding angles of the triangles are congruent and the lengths of the corresponding sides are in proportion, then the given correspondence is a similarity between two triangles.

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Reciprocating both sides,

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Thus, the answer is 13.75.