ΔABC आणि ΔDEF हे समान त्रिकोण आहेत आणि त्यांचे क्षेत्रफळ अनुक्रमे 49 सेमी2 आणि 144 सेमी2 आहेत. जर EF = 16.80 सेमी, तर BC काढा.

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 2)
View all SSC CGL Papers >
  1. 7.5 सेमी
  2. 9.8 सेमी
  3. 8.7 सेमी
  4. 11.4 सेमी

Answer (Detailed Solution Below)

Option 2 : 9.8 सेमी
super-pass-live
Free
SSC CGL Tier 1 2025 Full Test - 01
3.3 Lakh Users
100 Questions 200 Marks 60 Mins

Detailed Solution

Download Solution PDF

दिलेल्याप्रमाणे:

ΔABC आणि ΔDEF हे समान त्रिकोण आहेत आणि त्यांचे क्षेत्रफळ अनुक्रमे 49 सेमी2 आणि 144 सेमी2 आहेत.

EF = 16.80 सेमी

वापरलेली संकल्पना:

जर दोन त्रिकोण सारखे असतील, तर दोन्ही त्रिकोणांच्या क्षेत्रफळाचे गुणोत्तर त्यांच्या संबंधित बाजूंच्या गुणोत्तराच्या वर्गाच्या प्रमाणात असते.

गणना:

ΔABC आणि ΔDEF समान त्रिकोण असल्याने,

\(\frac {AB}{DE} = \frac {BC}{EF} = \frac {AC}{DF} = \sqrt { \frac {area (\Delta ABC)}{area (\Delta DEF)}}\)

\(\frac {BC}{EF} = \sqrt { \frac {area (\Delta ABC)}{area (\Delta DEF)}}\)

\(\frac {BC}{16.80} = \sqrt { \frac {49}{144} }\)

⇒ BC = 7/12 × 16.80

⇒ BC = 9.8

BC ची लांबी 9.8 सेमी आहे.

Latest SSC CGL Updates

Last updated on Jul 8, 2025

-> The SSC CGL Notification 2025 for the Combined Graduate Level Examination has been officially released on the SSC's new portal – www.ssc.gov.in.

-> 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.

-> The CSIR NET Exam Schedule 2025 has been released on its official website.

More Triangles Questions

Get Free Access Now
Hot Links: teen patti rules teen patti lucky teen patti real cash withdrawal