Q. 6 G5.0( 1 Vote )

# Fill in the blank

Given: The correspondence ABC PQR is a similarity in ABC and PQR.

AB = 16,

AC = 8,

PQ = 24 &

BC = 12

To find: QR + PR = ?

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.   To find (QR + PR), cross multiply it.

(QR + PR) × AB = (BC + AC) × PQ

Substituting values,

(QR + PR) × 16 = (12 + 8) × 24

(QR + PR) × 16 = 20 × 24 QR + PR = 30

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