RPF Constable practice question
In triangle ABC, AB = 32 cm, AC = 26 cm and BC = 22 cm. D is the midpoint of BC. Find the length of the median AD.
From a RPF Constable Quantitative Aptitude practice set · Quantitative Aptitude
Tap an option to check your answer.
Show answer and explanation
Correct answer: (C) 27 cm
By Apollonius's theorem, the median from A to BC satisfies AD² = (2×AB² + 2×AC² − BC²)/4 = (2×32² + 2×26² − 22²)/4 = (2048 + 1352 − 484)/4 = 2916/4 = 729. So AD = √729 = 27 cm.
हिंदी में प्रश्न
त्रिभुज ABC में, AB = 32 सेमी, AC = 26 सेमी और BC = 22 सेमी है। D, BC का मध्यबिंदु है। माध्यिका AD की लंबाई ज्ञात कीजिए।
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
उत्तर और व्याख्या देखें
सही उत्तर: (C) 27 सेमी
अपोलोनियस प्रमेय के अनुसार, A से BC तक माध्यिका के लिए AD² = (2×AB² + 2×AC² − BC²)/4 = (2×32² + 2×26² − 22²)/4 = (2048 + 1352 − 484)/4 = 2916/4 = 729 होता है। अतः AD = √729 = 27 सेमी।
More solved Quantitative Aptitude questions
- A sum of money lent at compound interest, compounded annually, amounts to ₹4,840 at the end of the first year and to ₹5,324 at the end of…
- Two circles intersect such that the distance between their centres is 8 cm and the length of their common chord is 42 cm. If the radius of…
- If log 2 = 0.3010 and log 3 = 0.4771, then the value of log 150 is:
- A sum of Rs. 18000 due at 10% per annum has a true discount of Rs. 6750.0. Find the time period.
- Study the number series: 9, 10, 19, 29, 48, 77, ?. From the third term onward, each term is the sum of the two terms immediately before…
- A car travels at 45 km/h. How far does it go in 4 hours?