Question

angle abc intersect each other at point x line ax instersect side bc in point y ab=5,ac=4 ,bc =6 the find ax/xy​

Answer 1

Answer:

Since, the bisectors of a triangle are concurrent, then AY is the bisector of ∠A.

Then from angle-bisector property we get, [Using the bisector of ∠C ]

XY

AX

=

YC

AC

YC

BY

=

AC

AB

or,

YC

BY

=

4

5

or,

YC

BY+YC

=

4

5+4

or,

YC

BC

=

4

9

or, YC=

3

8

.

From (1) we get,

XY

AX

=

2

3

.