Question

What is the vaule of x

Answer 1

Answer:

x = 3

Step-by-step explanation:

Look at the picture.

If ABC is any triangle and AD bisects (cuts in half) the angle BAC, then

$\dfrac{AB}{DB}=\dfrac{AC}{DC}$

In our triangle we have the proportion:

$\dfrac{AD}{AC}=\dfrac{BD}{BC}$

We have

AD = 2.25, AC = 3, BC = 4, BD = x.

Substitute:

$\dfrac{2.25}{3}=\dfrac{x}{4}$

$\dfrac{x}{4}=0.75$        multiply both sides by 4

$\boxed{x=3}$