Question

if the lengths of two sides of a triangle are 24 and 18, what is the largest possible integer length of the third side of the triangle?

Answer 1

41

Explanation:

Answer 2

`41\ units`

Explanation:

`As\ we\ know\ that,\\The\ sum\ of\ two\ sides\ of\ a\ triangle\ will\ always\ be\ greater\ than\ the\ Third\ Side.\\Hence,\\As\ we\ are\ given,\\Length\ of\ Side\ 1=24\ units\\Length\ of\ Side\ 2=18\ units\\Hence,\\The\ Length\ of\ Side\ 3<(24+18)\\Or,\\The\ Length\ of\ Side\ 3<42\\Now,\\As\ the\ length\ of\ third\ side\ cannot\ be\ equal\ to\ the\ sum\ of\ the\ other\ two sides.\\Hence,\\The\ Length\ of\ Side\ 3\\eq 42\\As\ we\ are\ told\ to\ find\ the\ integer\ value,\\`

`The\ nearest\ integer\ lesser\ than\ 42\ is\ 42-1\ or\ 41.\\Hence,\\The\ largest\ possible\ integer\ length\ of\ the\ third\ side\ of\ the\ triangle=41\ units`