Q. 45.0( 1 Vote )

# If ΔABC ~ ΔDEF, AB =10 cm, area (ΔABC) = 20 sq. cm, area (ΔDEF) = 45 sq. cm. Determine DE.

Given: ABC ~DEF, AB = 10cm,

and area of ABC = 20 sq cm , area of DEF = 45 sq cm

We know that, the ratio of two similar triangles is equal to the square of the ratio of their corresponding sides.

[given]

(DE)2 = 5 × 45

DE = 15cm

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