Question
Download Solution PDFएक समद्विबाहु ΔMNP एक वृत्त में उत्कीर्ण है। यदि MN = MP =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
MN = MP = 16√5 सेमी
NP = 32 सेमी
प्रयुक्त सूत्र:
त्रिभुज का क्षेत्रफल = (1/2) × आधार × ऊँचाई
परित्रिज्या = ABC/4Δ
जहाँ A, B और C त्रिभुज की तीन भुजाएँ हैं
Δ = त्रिभुज का क्षेत्रफल
गणना:
MD, NP पर लम्ब है
तो, ND = DP = 32/2 = 16 सेमी
MD = √[(16√5)2 - (16)2] = √(1280 - 256) = √1024 = 32 सेमी
ΔMNP का क्षेत्रफल = (1/2) × 32 × 32 = 512 वर्गसेमी
परित्रिज्या = (16√5 × 16√5 × 32)/(4 × 512) = 20 सेमी
∴ वृत्त की त्रिज्या (सेमी में) 20 सेमी है
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.