## Barishal higher secondary 2017#2

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**don't post problems (by starting a topic)**in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.

- samiul_samin
**Posts:**1007**Joined:**Sat Dec 09, 2017 1:32 pm

### Barishal higher secondary 2017#2

A Fibonacci printer is built that always prints equilateral triangle having area of a Fibonacci number but the same height as the equilateral triangle it supposed to print. For example, if it is given to print $3$ square centimeter equilateral triangle, it prints $5$ square centimeter isosceles triangle of the same height. If $5$ square centimeter equilateral triangle in given as input what is the length of the base of the output triangle?