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Given *abc ~*PQR IF AB/PQ =1/3 find ar abc / ar PQR ?
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Given *abc ~*PQR IF AB/PQ =1/3 find ar abc / ar PQR ?
1 by 9..... because ratio of area of two similar triangle is equal to sq. of corresponding side....
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Given *abc ~*PQR IF AB/PQ =1/3 find ar abc / ar PQR ?
Given information:
- Triangle ABC is similar to triangle PQR
- AB/PQ = 1/3
Explanation:
1. Understanding the ratio of sides:
- The ratio of corresponding sides in similar triangles is equal.
- Given AB/PQ = 1/3, we know that the ratio of the sides AB to PQ is 1:3.
2. Understanding the ratio of areas:
- The ratio of the areas of similar triangles is the square of the ratio of their corresponding sides.
- Therefore, (Area of ABC)/(Area of PQR) = (AB/PQ)^2 = (1/3)^2 = 1/9.
3. Finding the ratio of areas:
- The ratio of the areas of triangle ABC to triangle PQR is 1:9.
4. Answer:
- So, the ratio of the area of triangle ABC to the area of triangle PQR is 1:9.
In conclusion, by understanding the ratio of sides in similar triangles and the relationship between the ratios of sides and areas, we can determine the ratio of the areas of two similar triangles. In this case, the ratio of the area of triangle ABC to the area of triangle PQR is 1:9.
- Triangle ABC is similar to triangle PQR
- AB/PQ = 1/3
Explanation:
1. Understanding the ratio of sides:
- The ratio of corresponding sides in similar triangles is equal.
- Given AB/PQ = 1/3, we know that the ratio of the sides AB to PQ is 1:3.
2. Understanding the ratio of areas:
- The ratio of the areas of similar triangles is the square of the ratio of their corresponding sides.
- Therefore, (Area of ABC)/(Area of PQR) = (AB/PQ)^2 = (1/3)^2 = 1/9.
3. Finding the ratio of areas:
- The ratio of the areas of triangle ABC to triangle PQR is 1:9.
4. Answer:
- So, the ratio of the area of triangle ABC to the area of triangle PQR is 1:9.
In conclusion, by understanding the ratio of sides in similar triangles and the relationship between the ratios of sides and areas, we can determine the ratio of the areas of two similar triangles. In this case, the ratio of the area of triangle ABC to the area of triangle PQR is 1:9.
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Given *abc ~*PQR IF AB/PQ =1/3 find ar abc / ar PQR ?
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Given *abc ~*PQR IF AB/PQ =1/3 find ar abc / ar PQR ? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Given *abc ~*PQR IF AB/PQ =1/3 find ar abc / ar PQR ? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given *abc ~*PQR IF AB/PQ =1/3 find ar abc / ar PQR ?.
Given *abc ~*PQR IF AB/PQ =1/3 find ar abc / ar PQR ? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Given *abc ~*PQR IF AB/PQ =1/3 find ar abc / ar PQR ? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given *abc ~*PQR IF AB/PQ =1/3 find ar abc / ar PQR ?.
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