BC is tangent to circle A at B and to circle D at C. AB= 10 BC= 21 DC= 8 find AD to the nearest tenth

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03-03-2018
Mathematics

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BC is tangent to circle A at B and to circle D at C. AB= 10 BC= 21 DC= 8 find AD to the nearest tenth

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mathmate mathmate · Answer 1 · 2018-03-03T23:35:03+01:00

mathmate mathmate

03-03-2018

The attached diagram is an interpretation of the question.
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The distance AD is found by Pythagoras theorem, with
AD=sqrt(BC^2+(AB-DC)^2)=sqrt(21^2+2^2)=sqrt(441+4)=sqrt(445)
=21.095 (to the third decimal place)

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