Question
The areas of two similar triangles XYZ and LMN are 400
cm² and 100 cm² respectively. If side XY = 30 cm, find the corresponding side LM.Solution
ATQ,
Ratio of area of two similar triangles is equal to the square of their corresponding sides.
So, XY : LM = √400 : √100
Or, 30 : LM = 20 : 10
Or, LM = (1/2) × 30 = 15 cm
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