In the figure ,xw is the bisecter of angles yxz.Area of xyw is 10square centimetre and the area of triangle xwz is 20square centimetre
yw:wz=
xy:xz=
Answers
Answer:
Correct option is
A
XZ
XY+XZ
=
PZ
YZ
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
Step-by-step explanation:
I think this is what you looking for
Solution :-
we know that,
- Ratio of area of ∆'s with same height = Ratio of their base .
given that,
→ Area (∆XYW) = 10 cm²
→ Area (∆XWZ) = 20 cm²
so,
→ Area (∆XYW) / Area (∆XWZ) = YW / WZ
→ 10/20 = YW/WZ
→ YW : WZ = 1 : 2 (Ans.)
now, we know that, according to angle bisector theorem ,
- XY/XZ = YW/WZ
therefore,
→ XY/XZ = 1/2
→ XY : YZ = 1 : 2 (Ans.)
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