Question
Download Solution PDFThe mid points of AB and AC of a △ABC are X and Y, respectively. If BC + XY = 24 units, then the value of BC - XY is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The midpoints of AB and AC of a △ABC are X and Y, respectively.
If BC + XY = 24 units
Concept used:
Mid points of a triangle forming a quadrilateral with triangle is half of the base of triangle
Calculations:
According to the question,
BC + XY = 24 ..........(1)
Since XY = 1/2 of BC,
⇒ 1/2BC + BC = 24
⇒ 3BC = 24 × 2
⇒ 3BC = 48
⇒ BC = 16 units
From Eq. (1) we get,
⇒ 16 + XY = 24
⇒ XY = 8 units
Now accordingly,
⇒ BC - XY = 16 - 8 = 8 units
∴ The value of BC - XY is 8 units.
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.