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Question-5410




Question Number 5410 by FilupSmith last updated on 14/May/16
Commented by FilupSmith last updated on 14/May/16
An equilateral triangle with sides of  length L, contains a rectangle with  lengths a and b.    What is the maximum size of the rectangle?
$$\mathrm{An}\:\mathrm{equilateral}\:\mathrm{triangle}\:\mathrm{with}\:\mathrm{sides}\:\mathrm{of} \\ $$$$\mathrm{length}\:{L},\:\mathrm{contains}\:\mathrm{a}\:\mathrm{rectangle}\:\mathrm{with} \\ $$$$\mathrm{lengths}\:{a}\:\mathrm{and}\:{b}. \\ $$$$ \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{size}\:\mathrm{of}\:\mathrm{the}\:\mathrm{rectangle}? \\ $$
Commented by Rasheed Soomro last updated on 14/May/16
When a=b , i-e when rectangle is square.
$$\mathrm{When}\:{a}={b}\:,\:\mathrm{i}-\mathrm{e}\:\mathrm{when}\:\mathrm{rectangle}\:\mathrm{is}\:\mathrm{square}. \\ $$

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