Question

In ABC, XY || BC, AX : XB = 2 : 1
then AXY : ABC =
A) 9:4 B) 4:9 C) 1:9 D) 2:3​

Answer 1

Answer:

B)4:9

Step-by-step explanation:

AX=2

XB=1

AB=AX+XB

=2+1

=3

APPLYING AREA OF TRIANGLE THEOREM,

AXY:ABC=(AX:AB)^2

=(2:3)^2

=(4:9)

Answer 2

Answer:

4:9

Step-by-step explanation:

AX=2

XB=1

AB=AX+XB. =>> 2+1=3

ACCORDING TO TRIANGLE THEOREM,

AXY:ABC=(AX:AB)^2

=(2:3)^2

=(4:9)