Question
The areas of two similar triangles are 12 cm2 and 48 cm2. If the height of the smaller triangle is 2.1 cm, then the corresponding height of the bigger triangle is _____.
Answer: Option C
:
C
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:
C
The ratio of the area of two similar triangles is equal to the ratio of the squares of their corresponding heights
So,
(Height of smaller △)2(Height of bigger △)2=1248=14
Let the height of bigger triangle be x
∴(2.1)2x2=14⇔x=√4×(2.1)2
=(2×2.1)=4.2 cm
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