Question

In the figure (not to scale), line AB perpendicular to CD and AD is the bisector of angle BAE.
AB = 3 cm and AC = 5 cm. Find |CD – AC|

Answer 1

Angle BC=DB
And AC=5(given)
CD=BC+DB
By pythogoras theorem (refer the attachment)
BC=4
Hence
DB=4
CD=4+4
CD=8
Therefore
CD-AC
8-5
3

Answer 2

| CD - AC | = 3 cm

Step-by-step explanation:

given data

AB = 3 cm

AC = 5 cm

to find out

Find |CD - AC|

solution

as we know that  AB is perpendicular to CD

so that here angle ABC is = 90°

now we use here pythagoras theorem

AC² = AB² + BC²   ......................1

put here value and we get BC

5²= 3²+BC²

BC² = 25 - 9

BC = $\sqrt{16}$ = 4 cm

and here

BC = DB

so we can Say CD will be

CD = DB + BC  .............2

put here value

CD = 4 + 4

CD = 8 cm

so now we can get CD - AC that is

CD - AC = 8 cm - 5 cm

CD - AC = 3 cm

Learn more :

1. https://brainly.in/question/13883711