In ΔXYZ and ΔPQR, XYZ ↔ PQR is similarity. XY = 12, YZ = 8, ZX = 16, PR = 8. So, PQ + QR = ………….

For ∆XYZ and ∆PQR, the correspondence XYZ ↔ PQR has similarity.

Also, given that

XY = 12,

YZ = 8,

ZX = 16 &

PR = 8

To find: PQ + QR = ?

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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⇒

Or

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⇒

⇒

⇒

⇒ PQ + QR = 10

Thus, option (b) is correct.