The lengths (in cm) of three sides of a triangle are, respectively, 48, 55 and 73. What is the length (in cm) of the median joining the mid-point of the longest side to its opposite vertex?

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 3)
View all SSC CGL Papers >
  1. 27.5
  2. 73
  3. 24
  4. 36.5

Answer (Detailed Solution Below)

Option 4 : 36.5
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

Given:

The lengths (in cm) of three sides of a triangle are, respectively, 48, 55 and 73.

Concept used:

Median of a right angle triangle = H/2

Here,

H = hypotenuse

Calculation:
F3 Vinanti SSC 14.11.23 D1

482 + 55

⇒ 2304 + 3025

⇒ 5329

⇒ 732

So, the triangle is a right-angle triangle

So, median = h/2 = 73/2

⇒ 36.5

∴ The required answer is 36.5 cm.

Latest SSC CGL Updates

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. 

More Triangles Questions

Get Free Access Now
Hot Links: teen patti master online teen patti joy vip teen patti all