Question

In Triangle ABC, AB = 5cm, AC = 7 cm. If AD is the angle bisector of Angle A. Then
A) 25 : 49
B) 49 : 25
C) 6:1
D) 5:7​

Answer 1

Answer:

In ∆ABC ,if AD is angle bisector of angle A,

Then ,AB:AC=BD:DC (by internal angle bisector theorem)

Then ,BD=5cm ,BC=7:5 cm

=>DC=7.5-5=2.5

AB:AC=BD:DC=5:2.5=2:1

Understand by this one, and then solve yours

Answer 2

The value of BD :CD is 5 : 7

Step-by-step explanation:

Given:

AB =5 cm

AC = 7cm

AD is the angle bisector of angle A

To find: The values of BD : CD

Solution,

ABC is an triangle,

From the below figure,

AB  = 5cm

AC = 7cm

AD is the angle bisector  of angle A.

Where D is the midpoint of BC

A triangle is a three-sided polygon with three edges and three vertices that has three sides.

As per the figure,

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

where AB = 5 and AC = 7

sub these values, then we get

$\frac{5}{7} =\frac{BD}{CD}$

BD:CD = 5 : 7

Final answer:

Hence the value of  BD :CD is 5 : 7

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