In the given figure, AB equal to ___ units.
4√2
Using Pythagoras' theorem in right-angled triangle ABD, AB2=AD2+BD2. −−− (i)Using it in △ADC, we get AC2=AD2+DC2.⇒AD2=AC2−DC2=42−32 =16−9 =7
Substituting this value of AD2 in (i), we get
AB2=7+52=7+25=32.
⇒AB=√32=4√2 units