Question

In triangle ABC, AD is the internal bisector of angle A. If BD = 5 cm, BC = 7.5 cm, then ratio of AB : AC = ?

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Answer 1

Plz given thanks to me for this solution

Answer 2

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,

$\frac{AB}{AC} =\frac{BD}{DC}$

$\frac{AB}{AC} =\frac{5}{2.5}$                      [from 1]

$\frac{AB}{AC} =\frac{2}{1}$

AB : AC = 2 : 1