In triangle NLM, point S is the centroid, QS = (3x – 5) cm, and NS = (4x) cm. What is NS? 5 cm 10 cm 20 cm 30 cm
![In triangle NLM point S is the centroid QS 3x 5 cm and NS 4x cm What is NS 5 cm 10 cm 20 cm 30 cm class=](https://us-static.z-dn.net/files/d70/0147e6022fc8002663e4a8490a1816cd.png)
Answer:
20 cm
Step-by-step explanation:
∵ S is the centroid of ΔNLM
∴ S divides NG at ratio 1 : 2 from the base
∴SQ = 1/2 NS
∴3x - 5 = 1/2 (4x)
∴3x - 5 = 2x
∴3x - 2x = 5
∴x = 5
∴ NS = 4 × 5 = 20 cm