. In the following drawing, triangle ABC is an equilateral triangle with three altitudes drawn. Find bf if dc =8x-4 and ae=4x+20

Question

anonymous · Answer

|dw:1389734995581:dw|

dumbcow · Answer

http://en.wikipedia.org/wiki/Orthocenter#The_orthocenter

anonymous · Answer

what would i do with this?

anonymous · Answer

i know it gives the solutions but what one

anonymous · Answer

@dumbcow i dont understand

dumbcow · Answer

sorry the info on wiki doesnt really help for this problem i guess

ok because its an equilateral triangle, all the sides are the same thus all the altitudes are of equal length

ae = bf = cd
8x-4 = 4x +20

anonymous · Answer

could you help me step by step?

dumbcow · Answer

sure

solve linear equation for x
8x-4 = 4x +20

step 1:
add like terms, move "x" terms to one side with constants on other side

step 2:
divide to get "x" by itself

step 3:
plug that "x" value back in to find length bf