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

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step-by-step explanatio89