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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


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 15th Jan, 2024

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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