Math, asked by mousoomdewri66, 5 months ago

in triangle ABD angle B is 90° the internal bisector of angle B meets AC at D given that AB= 3cm BC = 4 cm find AD​

Answers

Answered by mrehanshaik2009
0

Answer:

Let BC=x and AD=y, then as per bisector theorem,

DC

BD

=

AC

AB

=

3

4

Hence,

DC

BD

=

7

4x

,DC=

7

3x

Now in triangle ABD, using cosine rule,

cos30

0

=

2×3y

{4

2

+y

2

−(

49

16x

2

)}

⇒4

3

y={16+y

2

−(

49

16x

2

)} .....(eqn 1)

Similarly in triangle ADC,

cos30

0

=

2×3y

{3

2

+y

2

−(

49

9x

2

)}

⇒3

3

y={9

2

+y

2

−(

49

9x

2

)} .....(eqn 2)

From eqn (1) and (2) we get,

y=

7

12

3

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