ΔABC ~ ΔPQR, ΔABC এবং ΔPQR এর ক্ষেত্রফল হল যথাক্রমে 64 সেমি2 এবং 81 সেমি2 এবং AD এবং PT হল যথাক্রমে ΔABC এবং ΔPQR এর মধ্যমা। যদি PT = 10.8 সেমি হয়, তাহলে AD = ?

This question was previously asked in
SSC CGL 2020 Tier-I Official Paper 1 (Held On : 13 Aug 2021 Shift 1)
View all SSC CGL Papers >
  1. 9 সেমি
  2. 12 সেমি
  3. 8.4 সেমি
  4. 9.6 সেমি

Answer (Detailed Solution Below)

Option 4 : 9.6 সেমি
vigyan-express
Free
PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
3.6 Lakh Users
25 Questions 50 Marks 10 Mins

Detailed Solution

Download Solution PDF

F1 Ashish Madhu 19.10.21 D2

প্রদত্ত:

ΔABC ~ ΔPQR

ΔABC এর ক্ষেত্রফল = 64 সেমি2

ΔPQR এর ক্ষেত্রফল = 81 সেমি2

PT = 10.8 সেমি

AD হল ΔABC এর মধ্যমা

PT হল ΔPQR এর মধ্যমা

ধারণা:

দুটি অনুরূপ ত্রিভুজের ক্ষেত্রফলের অনুপাত সংশ্লিষ্ট বাহু ও মধ্যমার বর্গক্ষেত্রের অনুপাতের সমান।

ar(ΔABC)/ar(ΔPQR) = AD2/PT2

⇒ 64/81 = AD2/PT2 

⇒ √64/81 = AD/PT

⇒ 8/9 = AD/10.8

∴ AD = 9.6 সেমি

Latest SSC CGL Updates

Last updated on Jun 25, 2025

-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.

-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.

-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.

->  The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.

->  Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.

-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.

-> The CGL Eligibility is a bachelor’s degree in any discipline.

-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.

-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.

-> Candidates should also use the SSC CGL previous year papers for a good revision. 

->The UGC NET Exam Analysis 2025 for June 25 is out for Shift 1.

More Triangles, Congruence and Similarity Questions

Get Free Access Now
Hot Links: teen patti master gold download teen patti real cash teen patti master plus teen patti master apk best teen patti real cash game