Activity :
• Draw a D ABC.
• Bisect Ð B and name the point
of intersection of AC and the
angle bisector as D.
• Measure the sides.
AB = cm BC = cm
AD = cm DC = cm
• Find ratios AB
BC
and
AD
DC .
A
B C
D
Fig. 1.19
Given : In D ABC, bisector of ÐC interesects
seg AB in the point E.
To prove :
AE
EB
=
CA
CB
Construction : Draw a line parallel to ray CE,
passing through the point B. Extend
AC so as to intersect it at point D. A B
C
D
E
Fig. 1.20
Fig. 1.18
A
B C
P Q l
• You will find that both the ratios are almost equal.
• Bisect remaining angles of the triangle and find the ratios as above. You
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