In the given figure, AB, AC and AD are tangents. If tangents of AB=7 cm, then find the length of AD.
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as AB,AC are tangents to one circle
they are equal ( th.tangents from an external point to a circle are equal)
AB=AC=7-------------------1
AC and AD are tangents to another circle.
they are equal too(th.tangents from an external point to a circle are equal)
AC=AD----------------------2
from 1 AND 2,
AB=AC=AD=7
thus length of AD=7
hope it helps!!!!
they are equal ( th.tangents from an external point to a circle are equal)
AB=AC=7-------------------1
AC and AD are tangents to another circle.
they are equal too(th.tangents from an external point to a circle are equal)
AC=AD----------------------2
from 1 AND 2,
AB=AC=AD=7
thus length of AD=7
hope it helps!!!!
SakshiDeshmukh:
According to the figure, C doesnt lie on the circle with centre O, so how come AB=AC?
AB and AC are tangents. it is a theorem that tangents from an external point to a circle will be equal.so as ac and ab are tangents to the circle they are equal
if u have any doubts please ask
i know that. just see the fig carefully, AB n AC are not tangents to the same circle.
yes AB = AC --1
they are the tangents to the circle with centre O
ok fine
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