Question

In fig, bisectors of B and C
of ABC intersect each other in
point X. Line AX intersects side BC in
point Y. AB = 5, AC = 4, BC = 6 then AX/XY.​

Answer 1

Step-by-step explanation:

In ΔACY ray CX bisects angle ACY

AX = AC. -1 -property of an angle bisector

XY. YC

in ΔBAY ray BC bisects angle ABY

AX = BA. -2-property of an angle bisector

XY. BY

From 1 and 2

AX = AC. = BA

XY. YC. BY

AX = AC + BA Theoerm on equal ratios

XY. YC + BY

AX = 4+5

XY. BC

AX = 9

XY. 6

AX. = 3

XY. 2