In a right triangle abc, cd is an altitude, such that ad=bc. find ac, if ab=3 cm, and cd= root 2 cm. plz answer!

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.

Let AD=x, Since given AB=3

                                     AD+DB=3

                                       x+DB = 3

                                        DB = 3-x

Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem

Since given AD=BC,let us plugin BC=x in above step.

6x=11

x=

Now we know AD=x= and given CD=√2.

Let us apply Pythagoras theorem for ΔACD

= 2.315cm

v: l•w•h÷2.

v: 20•6•8 ÷2

v: 960÷2

v: 480

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2