Question : If the areas of two similar triangles are in the ratio 196 : 625, what would be the ratio of the corresponding sides?
Option 1: 14 : 25
Option 2: 13 : 20
Option 3: 14 : 20
Option 4: 13 : 25
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Correct Answer: 14 : 25
Solution :
Ratio of Areas = 196 : 625
If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.
⇒ Ratio of sides = $\sqrt{\text{area}{_1}}:\sqrt{\text{area}{_2}}=\sqrt{196}:\sqrt{625}= 14 : 25$
Hence, the correct answer is 14 : 25.
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