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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