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

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

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x