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Question Number 19330 by Tinkutara last updated on 09/Aug/17

$$\mathrm{A}\mathrm{triangle}\mathrm{with}\mathrm{perimeter}7\mathrm{has}\mathrm{integer}$$$$\mathrm{side}\mathrm{lengths}.\mathrm{What}\mathrm{is}\mathrm{the}\mathrm{maximum}$$$$\mathrm{possible}\mathrm{area}\mathrm{of}\mathrm{such}\mathrm{a}\mathrm{triangle}?$$

Answered by mrW1 last updated on 09/Aug/17

$$3/3/1\Rightarrow \mathrm{A}=\sqrt{3.5\times 0.5\times 0.5\times 2.5}=1.479$$$$3/2/2\Rightarrow \mathrm{A}=\sqrt{3.5\times 0.5\times 1.5\times 1.5}=1.984=\max$$

Commented by Tinkutara last updated on 10/Aug/17

$$\mathrm{How}\mathrm{to}\mathrm{take}\mathrm{the}\mathrm{sides}\mathrm{if}\mathrm{perimeter}\mathrm{was}$$$$\mathrm{a}\mathrm{large}\mathrm{number}?$$

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