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  • Solve each of the following question using appropriate Euclid’s axiom: Look at the Fig. 5.3. Show that length AH > sum of lengths of AB + BC + CD.

Solve each of the following question using appropriate Euclid’s axiom: Look at the Fig. 5.3. Show that length AH > sum of lengths of AB + BC + CD.

Answers (1)

To prove: AH > Sum of lengths of AB + BC + CD

Euclid's axiom says that the whole is greater than the part.

Here the given figure is

AB + BC + CD =

Here we notice that AB + BC + CD is a part of the whole line AH. According to Euclid's axiom whole is always greater than the part. Hence, AH > sum of lengths of AB + BC + CD.

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