Q. 6 E5.0( 1 Vote )

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

Area of ΔABC = 36 and area of ΔPQR = 64. The correspondence ABC PQR is a similarity. If AB = 12, then PQ = ______.

Answer :

Given: Area of ∆ABC = 36,

Area of ∆PQR = 64

AB = 12

The correspondence ABC PQR is a similarity.

To find: PQ = ?

For this,

Recall the property,

Ratio of areas of two similar triangles = Ratio of squares of the corresponding sides

PQ = 2 × 8

PQ = 16

Thus, answer is 16.

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