Shankar Agarwal

Level pending

Four equal ,equilateral triangles of side 1cm is joined together to form parallelogram. Find the length of its longest diagonal in this parallelogram.


The answer is 2.645.

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1 solution

Hrishikesh Dani
Feb 27, 2014

If all the triangles are arranged to form a parallelogram then the largest angle formed will be of 120 degree= 60+60 Therefore by applying the cosine rule we will have the answer as follows (digonal )square= (1st side) square+(2nd side) square - 2 S1 S2*cos120

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