Look at the Fig. 5.3. Show that length AH sum of lengths of AB + BC + CD.

Question

Look at the Fig. 5.3. Show that length AH > sum of lengths of AB + BC + CD.

Philoid · Accepted Answer

From the given figure, we have

AB+BC+CD =AD [AB, BC and CD are the parts of AD]

Here, AD is also the part of AH.

According to Euclid’s axiom, the whole is greater than the part i.e., AH > AD

So, length AH > sum of the lengths of AB+BC+CD.