In the figure given below, show that length $A H > A B + B C + C D$

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Solution

$A H = A B + B C + C D + D E + E F + F G + G H$
$\Rightarrow A B + B C + C D$ is a part of $A H$
According to Euclid's fifth axiom the whole thing is greater then a part
$∴ A H > A B + B C + C D$

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