hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    Which of the following statements is true with respect to a triangle?
    Question

    Which of the following statements is true with respect to a triangle?

    A.

    The concurrent point of altitudes is called centroid.

    B.

    The sum of medians is less than perimeter.

    C.

    The concurrent point of internal angle bisectors is called orthocenter.

    D.

    Any two sides together are less than twice the median of remaining side.

    Correct option is B

    Concept Used:

    Sum of medians of a triangle < perimeter of the triangle

    Centroid is the point of concurrency of medians

    Orthocenter is the point of concurrency of altitudes

    In any triangle, the sum of any two sides is greater than the third side (Triangle Inequality)

    Solution:
    Option B is correct: "The sum of medians is less than perimeter."
    This is a true and known property of triangles.

    Other options are incorrect:

    A: Altitudes meet at the orthocenter, not centroid.

    C: Angle bisectors meet at the incenter, not orthocenter.

    D: Incorrect triangle inequality relation.

    Free Tests

    Free
    Must Attempt

    CBT-1 Full Mock Test 1

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    RRB NTPC Graduate Level PYP (Held on 5 Jun 2025 S1)

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    test-prime-package

    Access ‘RRB NTPC’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    368k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow