6. In ABC, AD is the internal bisector of ZA.
If BD=5 cm, BC = 7.5 cm, then find
AB: AC.
A
С C
B
D
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Answered by
15
Answer:
Correct option is
A
2:1
AD is bisector of ∠A
In △ABD and △ACD
∴
AC
AB
=
DC
BD
=
7.5−5
5
=
2.5
5
=2:1.
Step-by-step explanation:
AB : AC = 2 : 1
Step-by-step explanation:
Given:
In Δ ABC, AD is the internal bisector of angle A.
BD = 5 cm, BC = 7.5 cm
To find:
AB : AC = ?
Solution:
BD + DC = BC
5 + DC = 7.5 [given]
DC = 7.5 - 5
DC = 2.5 [1]
Now by internal bisector property,
\frac{AB}{AC} =\frac{BD}{DC}
AC
AB
=
DC
BD
\frac{AB}{AC} =\frac{5}{2.5}
AC
AB
=
2.5
5
[from 1]
\frac{AB}{AC} =\frac{2}{1}
AC
AB
=
1
2
AB : AC = 2 : 1
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