Each side of is 12 units. is the foot of the perpendicular dropped from on , is the midpoint of . The length of is
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as it is an equilateral triangle...the height(90 ) is the median of the base BC. ;; BD = DC = 6cm.. in 90 triangle ADB AD = 12x12(hyp)-6x6 -6x6(side)........ root... root of 12x12 - 6x6= root of 108=under root 108= 6root3 to caluclate BE we consider triangle EBD= 1/2 of AD .,.,.,..,,,,1/2 of 6root3===3root3... so, 3root3 x 3root3 +6x6 (pythogores theorem)........root of it = ROOT T63= 3ROOT7..;)