triangles.. my foot

Geometry Level 2

Each side of A B C \triangle ABC is 12 units. D D is the foot of the perpendicular dropped from A A on B C BC , E E is the midpoint of A D AD . The length of B E BE is

6 7 \sqrt 7 units 3 3 \sqrt 3 units 3 7 \sqrt 7 units 36 7 \sqrt 7 units

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1 solution

Shree Tej
Feb 19, 2015

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..;)

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