Question

important please give me the answer fast 20 points also will be marked as brilliant​

Answer 1

Answer:

a) 3:2

b) 4cm

c) 6cm

Step-by-step explanation:

a)

$\frac{ab}{bd} = \frac{ac}{cd} (angle \: bisector \: theorem)$

$\frac{ab}{ac} = \frac{bd}{cd}$

$\frac{12}{8} = \frac{bd}{cd}$

BD:CD = 3:2

b) and c)

From a),

Let BD be 3y and CD be 2y

Therefore BD + CD = 10

3y + 2y = 10

5y = 10

y = 10/5

y = 2

So, BD = 3y

= 3x2

= 6cm

And CD = 2y

= 2x2

= 4cm