What is the length of segment NS? 1 unit 2 units 4 units 6 units

Question

asked Sep 8, 2018 151k views

2 Answers

James Skidmore · Answer 1 · 2018-09-13T02:25:44+0000

Answer-

$\boxed{\boxed{NS=4\ units}}$

Solution-

As LR = QR, so NR is a median to side LQ

NM = ML, so MQ is a median to side ML

NP = PQ, so PL is a median to side NQ

So, S is the centroid of the ΔNLQ

From the properties of centroid we know that the centroid divides each median in a ratio of 2:1

So applying this,

$\Rightarrow NS=2* SR$

$\Rightarrow 7x-3=2* (5x-3)$

$\Rightarrow 7x-3=10x-6$

$\Rightarrow 10x-7x=6-3$

$\Rightarrow 3x=3$

$\Rightarrow x=1$

Therefore,
$7(1)-3=7-3=4\ units$