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From a point within an equilateral triangle perpendicular drawn to the three sides are 6cm, 7cm and 8cm respectively. The length of each sides of the triangle is
Options:
A .  7cm
B .  10.5cm
C .  .
D .  .
Answer: Option C

LetOL = 6cm , OM =7cm and ON =8cm 
Let AB =BC =CA = a cm 
 From A Point Within An Equilateral Triangle Perpendicular D...
 
x a2 =(1/2 x a x 6 +1/2 x a x 7 +1/2 x a x 8)
x a2 
= ½ a x (6+7+8) 
 From A Point Within An Equilateral Triangle Perpendicular D...
 = 42 a 
=> a =  From A Point Within An Equilateral Triangle Perpendicular D... =  From A Point Within An Equilateral Triangle Perpendicular D...



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