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The ratio of the corresponding sides of two similar triangles is 1 : 3. The ratio of their corresponding heights is :
  • a)
    1 : 3
  • b)
    3 : 1
  • c)
    1 : 9
  • d)
    9 : 1
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The ratio of the corresponding sides of two similar triangles is 1 : 3...
Explanation:

Given that, the ratio of the corresponding sides of two similar triangles is 1 : 3.

Let us consider, the two similar triangles ABC and DEF.

Let AB and DE denote the corresponding sides of the triangles ABC and DEF.

Then, we have AB:DE = 1:3.

Now, let h1 and h2 denote the corresponding heights of the triangles ABC and DEF.

Then, we have h1/h2 = AB/DE = 1/3.

Therefore, the ratio of their corresponding heights is 1:3.

Hence, the correct option is (A).

Key Points:
- The ratio of corresponding sides of similar triangles is equal to the ratio of their corresponding heights.
- In this question, the given ratio of corresponding sides is 1:3, which gives the ratio of heights as 1:3.
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Community Answer
The ratio of the corresponding sides of two similar triangles is 1 : 3...
In these kinds of questions, ratio follow the same pattern. this is kind of a shortcut method for these questions.
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The ratio of the corresponding sides of two similar triangles is 1 : 3. The ratio of their corresponding heights is :a)1 : 3b)3 : 1c)1 : 9d)9 : 1Correct answer is option 'A'. Can you explain this answer?
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