Question

In triangle abc
XY ll BC
AX : 3 cm XB : 1.5cm and BC : 6 cm

Find : AY/YC and XY

Answer 1

Given :  XY || BC , AX =  1 cm, XB = 3 cm, and BC = 6 cm

AB = AX + XB

AB = 1 + 3

AB = 4 cm

In ∆ AXY & ∆ABC

∠AXY = ∠ABC and ∠AYX = ∠ACB

[Corresponding angles]

∠A = ∠A

[Common]

∆ AXY ∼ ∆ABC

[By AAA similarity criterion]

ΔAXY∼ΔABC

XY/BC = AX/AB

XY/6 = 1/4

4 XY = 6

XY = 6/4 = 3/2  

XY = 1.5 cm

Hence, the value of XY = 1.5 cm.

glad to help

Answer 2

Answer:

Step-by-step explanation:

XY will be 3 it is the property of a triangle and AY/YC is equal to 2/3