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22 December, 07:11

In triangle MNP, medians NQ and PR intersect at S. If PS = 8 and QS = 3 then which of the following is the value of NQ + PR

(1) 21

(2) 22

(3) 26

(4) 30

+3
Answers (1)
  1. 22 December, 07:18
    0
    (2) 22

    Step-by-step explanation:

    In the given triangle MNP, the medians are straight lines drawn from the angle to opposite side so as to divide the side into equal parts.

    PS = 8 and QS = 3, thus;

    PS = NS = 8 (congruent property of ΔRSN and ΔQSP)

    QS = SP = 3 (congruence property)

    So that,

    NQ = NS + SQ

    = 8 + 3

    = 11

    PR = PS + SR

    = 8 + 3

    = 11

    Thus;

    NQ + PR = 11 + 11

    = 22

    Therefore, NQ + PR = 22
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