Maths-
General
Easy

Question

Identify the segment bisector of 𝑃𝑅 and find 𝑃𝑄.

Hint:

Line which bisects the line segment in two equal parts is called segment bisector.

The correct answer is: 8 units.


    • Step-by-step explanation:
    ○        Given:

    PQ = 5y - 7

    QR = y + 5
    ○        Step 1:
    As we know, the segment bisector divides the line segment in two equal parts.
    So,
    As Q is midpoint of PR
    ∴ PQ = QR

    rightwards double arrow5y - 7 = y + 5

    rightwards double arrow5y - y = 7 + 5

    rightwards double arrow4y = 12

    rightwards double arrowy = 12 over 4

    rightwards double arrowy = 3
    ○ Step 2:
    ○ Put y = 3 in 5y - 7 we will get PQ.

    PQ = 5y -7

    rightwards double arrowPQ = 5(3) - 7

    rightwards double arrowPQ = 15 - 7

    rightwards double arrowPQ = 8 units.

    • Final Answer:
    Hence, line l is segment bisector of PR and PQ = 8 units.

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