Question

What is the vaule of x

Answer 1

x = 3

Explanation:

Look at the picture.

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

`(AB)/(DB)=(AC)/(DC)`

In our triangle we have the proportion:

`(AD)/(AC)=(BD)/(BC)`

We have

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

Substitute:

`(2.25)/(3)=(x)/(4)`

`(x)/(4)=0.75` multiply both sides by 4

`\boxed{x=3}`