एक समचतुर्भुज का क्षेत्रफल 96 सेमी2 है और इसका एक विकर्ण 16 सेमी है। तो इसकी भुजा की लंबाई कितनी है?

This question was previously asked in
NTPC CBT-I (Held On: 5 Jan 2021 Shift 2)
View all RRB NTPC Papers >
  1. 15 सेमी
  2. 12 सेमी
  3. 10 सेमी
  4. 18 सेमी

Answer (Detailed Solution Below)

Option 3 : 10 सेमी
Free
RRB NTPC Graduate Level Full Test - 01
100 Qs. 100 Marks 90 Mins

Detailed Solution

Download Solution PDF

दिया गया है:

एक समचतुर्भुज का क्षेत्रफल = 96 सेमी2

एक विकर्ण = 16 सेमी

प्रयुक्त सूत्र:

अवधारणा: समचतुर्भुज के विकर्ण लंब समद्विभाजक होते हैं।

समचतुर्भुज का क्षेत्रफल = 1/2 × विकर्ण1 × विकर्ण2

समचतुर्भुज की भुजा = √[(D1/2)2 + (D2/2)2]

⇒ (1/2) × √[(D1)2 + (D2)2]

गणना:

अब, प्रश्न के अनुसार

96 = 1/2 × 16 × विकर्ण2

⇒ विकर्ण2 = 12

समचतुर्भुज की भुजा = 1/2 × √[162 + 122]

∴ 1/2 × 20 = 10 सेमी

Latest RRB NTPC Updates

Last updated on Jul 5, 2025

-> RRB NTPC Under Graduate Exam Date 2025 has been released on the official website of the Railway Recruitment Board. 

-> The RRB NTPC Admit Card will be released on its official website for RRB NTPC Under Graduate Exam 2025.

-> Candidates who will appear for the RRB NTPC Exam can check their RRB NTPC Time Table 2025 from here. 

-> The RRB NTPC 2025 Notification released for a total of 11558 vacancies. A total of 3445 Vacancies have been announced for Undergraduate posts like Commercial Cum Ticket Clerk, Accounts Clerk Cum Typist, Junior Clerk cum Typist & Trains Clerk.

-> A total of 8114 vacancies are announced for Graduate-level posts in the Non-Technical Popular Categories (NTPC) such as Junior Clerk cum Typist, Accounts Clerk cum Typist, Station Master, etc.

-> Prepare for the exam using RRB NTPC Previous Year Papers.

-> Get detailed subject-wise UGC NET Exam Analysis 2025 and UGC NET Question Paper 2025 for shift 1 (25 June) here

More Plane Figures Questions

More Mensuration Questions

Hot Links: teen patti list teen patti lucky teen patti gold old version teen patti gold real cash teen patti joy apk