Question
Download Solution PDFएका समभुज चौकोनाचे दोन कर्ण 5 ∶ 12 या प्रमाणात आहेत. जर समभुज चौकोनाच्या बाजूची लांबी 26 सेमी असेल, तर त्याचे क्षेत्रफळ किती?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
एका समभुज चौकोनाचे दोन कर्ण 5 ∶ 12 या प्रमाणात आहेत
बाजूची लांबी = 26 सेमी
वापरलेली संकल्पना:
समभुज चौकोनाचे दोन कर्ण एकमेकांना 90° दुभागतात.
वापरलेले सूत्र:
समभुज चौकोनाचे क्षेत्रफळ = (1/2) × दोन कर्णांचा गुणाकार
गणना:
समभुज चौकोनाचे कर्ण 5x आणि 12x मानू
जर ABCD या समभुज चौकोनाचे दोन कर्ण O येथे छेदतात, तर
⇒ AO2 + BO2 = AB2
⇒ (5x/2)2 + (12x/2)2 = 262
⇒ (25x2/4) + (144x2/4) = 676
⇒ 169x2 = 676 × 4
⇒ 169x2 = 2704
⇒ x2 = 16
⇒ x = 4 सेमी
कर्ण, 5x = 20 सेमी आणि 12x = 48 सेमी
समभुज चौकोनाचे क्षेत्रफळ = (1/2) × 20 × 48
⇒ 10 × 48
⇒ 480 चौरस सेमी
∴ समभुज चौकोनाचे क्षेत्रफळ 480 चौरस सेमी आहे.
Last updated on Jun 13, 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.