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P and Q are points on sides AB and AC respectively of ΔABC. If AP = 3 cm, PB = 6 cm, AQ = 5 cm and QC = 10 cm, then BC =
- a)PQ
- b)2PQ
- c)3PQ
- d)4PQ
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
P and Q are points on sides AB and AC respectively of ΔABC. If A...
Since, 
∴ PQ || BC, [By converse of Thale’s theorem]
⇒ ∠APQ = ∠ABC and ∠AQP = ∠ACB (Corresponding angles)
∴ ΔAPQ ~ ΔABC [By AA similarity]
∴ PQ || BC, [By converse of Thale’s theorem]
⇒ ∠APQ = ∠ABC and ∠AQP = ∠ACB (Corresponding angles)
∴ ΔAPQ ~ ΔABC [By AA similarity]
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P and Q are points on sides AB and AC respectively of ΔABC. If A...
Given Information:
- AP = 3 cm
- PB = 6 cm
- AQ = 5 cm
- QC = 10 cm
Calculation:
- Let's denote BC as x cm.
- By using the segment addition postulate in triangle ABC, we can find the lengths of BP and PC.
- AP + PB = AB
- 3 + 6 = 9 cm
- Since AB = BC, we can substitute BC with 9 cm.
- AQ + QC = AC
- 5 + 10 = 15 cm
- Since AC = AB + BC, we can substitute AB with 9 cm and BC with x cm.
- 9 + x = 15
- x = 6 cm
Conclusion:
- BC = 6 cm
- 3PQ = 3(5) = 15 cm
- Therefore, BC = 3PQ
- Hence, the correct answer is option 'C'.
- AP = 3 cm
- PB = 6 cm
- AQ = 5 cm
- QC = 10 cm
Calculation:
- Let's denote BC as x cm.
- By using the segment addition postulate in triangle ABC, we can find the lengths of BP and PC.
- AP + PB = AB
- 3 + 6 = 9 cm
- Since AB = BC, we can substitute BC with 9 cm.
- AQ + QC = AC
- 5 + 10 = 15 cm
- Since AC = AB + BC, we can substitute AB with 9 cm and BC with x cm.
- 9 + x = 15
- x = 6 cm
Conclusion:
- BC = 6 cm
- 3PQ = 3(5) = 15 cm
- Therefore, BC = 3PQ
- Hence, the correct answer is option 'C'.
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P and Q are points on sides AB and AC respectively of ΔABC. If AP = 3 cm, PB = 6 cm, AQ = 5 cm and QC = 10 cm, then BC =a)PQb)2PQc)3PQd)4PQCorrect answer is option 'C'. Can you explain this answer? 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 P and Q are points on sides AB and AC respectively of ΔABC. If AP = 3 cm, PB = 6 cm, AQ = 5 cm and QC = 10 cm, then BC =a)PQb)2PQc)3PQd)4PQCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P and Q are points on sides AB and AC respectively of ΔABC. If AP = 3 cm, PB = 6 cm, AQ = 5 cm and QC = 10 cm, then BC =a)PQb)2PQc)3PQd)4PQCorrect answer is option 'C'. Can you explain this answer?.
P and Q are points on sides AB and AC respectively of ΔABC. If AP = 3 cm, PB = 6 cm, AQ = 5 cm and QC = 10 cm, then BC =a)PQb)2PQc)3PQd)4PQCorrect answer is option 'C'. Can you explain this answer? 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 P and Q are points on sides AB and AC respectively of ΔABC. If AP = 3 cm, PB = 6 cm, AQ = 5 cm and QC = 10 cm, then BC =a)PQb)2PQc)3PQd)4PQCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P and Q are points on sides AB and AC respectively of ΔABC. If AP = 3 cm, PB = 6 cm, AQ = 5 cm and QC = 10 cm, then BC =a)PQb)2PQc)3PQd)4PQCorrect answer is option 'C'. Can you explain this answer?.
Solutions for P and Q are points on sides AB and AC respectively of ΔABC. If AP = 3 cm, PB = 6 cm, AQ = 5 cm and QC = 10 cm, then BC =a)PQb)2PQc)3PQd)4PQCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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P and Q are points on sides AB and AC respectively of ΔABC. If AP = 3 cm, PB = 6 cm, AQ = 5 cm and QC = 10 cm, then BC =a)PQb)2PQc)3PQd)4PQCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for P and Q are points on sides AB and AC respectively of ΔABC. If AP = 3 cm, PB = 6 cm, AQ = 5 cm and QC = 10 cm, then BC =a)PQb)2PQc)3PQd)4PQCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of P and Q are points on sides AB and AC respectively of ΔABC. If AP = 3 cm, PB = 6 cm, AQ = 5 cm and QC = 10 cm, then BC =a)PQb)2PQc)3PQd)4PQCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice P and Q are points on sides AB and AC respectively of ΔABC. If AP = 3 cm, PB = 6 cm, AQ = 5 cm and QC = 10 cm, then BC =a)PQb)2PQc)3PQd)4PQCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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