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An equilateral triangle of side 1 unit is taken . it is circumscribed by a circle. the circle in turn is circumscribed by another equilateral triangle. This process is repeated till there are 5 equilateral triangles. what is the side of the largest equilateral triangle?
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- 16 units..
Let
a= side of ∆.
r= circumradius.
Then from geometry..
a=√3*r.... eqn..1
From this equn we find circumradus.
Now..
From this we can find altitude of the next triangle ... Hence we find side of next triangle...
Repeat this and get the results.. - 8 years agoHelpfull: Yes(1) No(3)
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