Medium
Solve the following question using the appropriate Euclid's axiom:
Look at the figure. Show that the length $AH >$ the sum of the lengths of $AB + BC + CD$.
Look at the figure. Show that the length $AH >$ the sum of the lengths of $AB + BC + CD$.
(N/A) We observe that $AB, BC,$ and $CD$ are parts of the line segment $AD$.
Now,$AB + BC + CD = AD$ $......(1)$
By Euclid's axiom $5$,the whole is greater than the part. Since $AD$ is a part of the line segment $AH$,we have:
$AH > AD$
i.e.,Length $AH >$ sum of lengths of $AB + BC + CD$ [Using $(1)$].
Now,$AB + BC + CD = AD$ $......(1)$
By Euclid's axiom $5$,the whole is greater than the part. Since $AD$ is a part of the line segment $AH$,we have:
$AH > AD$
i.e.,Length $AH >$ sum of lengths of $AB + BC + CD$ [Using $(1)$].
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