Question

in triangle abc, the point y divides the side ab in the ratio 2:1. The point z on ac is such that yz is parallel to bc. choose two options that are the same as the ratio bc:yz
a)1:1.5 b)1:2 c) 1:3 d)1.5:1 e)2:1
f)2:3 g) 3:1 h)3:2

Answer 1

∆ABC and ∆AYZ are similar, so
BC : YZ = 3 : 2

notice that 1.5 : 1 = 3:2 , so it looks like choices
d) and h)