emmyp1661
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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

Respuesta :

olayemiolakunle65

Answer:

(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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