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
Correct Answer: 14 : 25
Solution :
Given: The areas of two similar triangles are in the ratio 196 : 625.
We know,
The ratio of the corresponding sides of the two similar triangles = The ratio of the square root of their area
So, the ratio of the corresponding sides = $\sqrt{196}:\sqrt{625}=14:25$
Hence, the correct answer is 14 : 25.
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