Careers360 Logo
Search Colleges, Exams, Schools & more
ask-icon
share
    Which IIM Will Conduct CAT 2026?
    1. Home
    2. CAT
    3. Study Material
    4. CAT Some Important Results - Practice Questions & MCQ

    CAT Some Important Results - Practice Questions & MCQ

    Edited By admin | Updated on Oct 04, 2023 04:20 PM | #CAT

    Quick Facts

    • 2 Questions around this concept.

    Solve by difficulty

    QuestionEASY

    In ABC, if $\angle$B = 90° and D is the midpoint of BC, then AC2 = AD2 + 3CD2. (True/False)

    View Solution

    Concepts Covered - 1

    Some Important Results

    Some Important Results

    1. If ∆ABC is a right angle triangle with right-angled at B such that BD ⊥AC, DM ⊥ BC, and DN ⊥ AB.

              

      Then,

    1. DM2 = DN · MC
    2. DN2 = DM · AN

     

    2. If ABC is a triangle in which ∠ ABC < 90° and AD ⊥ BC. Then, AC2 = AB2 + BC2 – 2 BC · BD.

       

    3. If AD is a median of a triangle ABC and AM ⊥ BC.

       

      Then,

        \\\text { (i) } \mathrm{AC}^{2}=\mathrm{AD}^{2}+\mathrm{BC} \cdot \mathrm{DM}+\left(\frac{\mathrm{BC}}{2}\right)^{2}\\\text { (ii) } \mathrm{AB}^{2}=\mathrm{AD}^{2}-\mathrm{BC} \cdot \mathrm{DM}+\left(\frac{\mathrm{BC}}{2}\right)^{2}\\\text { (iii) } \mathrm{AC}^{2}+\mathrm{AB}^{2}=2 \mathrm{AD}^{2}+\frac{1}{2} \mathrm{BC}^{2}

    Study other Related Concepts

    CAT Some Important Results Current Topic

    CAT Basic Terms and Definitions of Lines and Angles
    CAT Various Types of Angle
    CAT Linear Pair of Angles
    CAT Vertically Opposite Angles
    CAT Corresponding Angle Axioms
    CAT Alternate Interior Angle Theorem
    CAT Interior Angle Theorem
    CAT Parallel and a Transversal Lines
    CAT Introduction to Triangles
    CAT Congruence of Triangles

    "Stay in the loop. Receive exam news, study resources, and expert advice!"

    Get Answer to all your questions

    MBA/PGDM Admissions OPEN

    Amity University-Noida MBA Admissions 2026
    Apply

    Ranked among top 10 B-Schools in India by multiple publications | Top Recruiters-Google, MicKinsey, Amazon, BCG & many more.

    GITAM University Admissions 2026
    Apply

    AICTE Approved | NAAC A++ | Category 1 University by MHRD | Highest CTC 1.4 Cr LPA from Amazon | Application Deadline: 29th May'26

    PP Savani University MBA Admissions 2026
    Apply

    MBA @ P P Savani University | NAAC A+ Grade | 100% Placement Assistance | Apply Now

    N. L. Dalmia Institute of Management, PGDM Admissions 2026
    Apply

    AICTE Approved | NBA Accredited | NAAC A+(2nd Cycle) Accredited. Highest CTC: 24 LPA | Average CTC: 11.17 LPA

    Siva Sivani Institute of Management PGDM Admissions 2026
    Apply

    98.74% Students Placed | 180+ Recruiters on Campus | Average CTC 7.25 LPA

    Sharda University Admissions 2026
    Apply

    North India's Largest Educational Group | NIRF Ranked 87 | NAAC A+ Grade | Highest Package 1.6 Cr | Avail 50% Waiver on Application Fee | Last Date: 31st May'26

    View all Application Forms

    Student Community: Where Questions Find Answers

    Ask and get expert answers on exams, counselling, admissions, careers, and study options.
    Download Careers360 App
    All this at the convenience of your phone

    • Regular Exam Updates

    • Best College Recommendations

    • College & Rank predictors

    • Detailed Books and Sample Papers

    • Question and Answers

    Scan and download the app

    OR

    College Predictor