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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.
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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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? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 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? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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