Question

11. In a triangle XYZ, if the internal bisector of angle X meets YZ in P, then

options are :
1) XY/XZ =YP/PZ

2)XY/PZ=XZ/YP

3)XY/XZ=PZ/YP

4)XY/XY=YP/YZ​

(with step by step explanation please)​

Answer 1

Step-by-step explanation:

The internal bisector of ∠X meets YZ at P

XZ

XY

=

PZ

YP

(Angle bisector theorem)

Add 1 on both the sides

⇒

XZ

XY

+1=

PZ

YP

+1

⇒

XZ

XY+XZ

=

PZ

YP+PZ

=

PZ

YZ

Answer 2

Step-by-step explanation:

answer is

xy/xz = yz/pz