Two sides of an equilateral triangle have lengths #2x-2# and #3x-6#. What could be the length of the third side: #10- x# or #6x + 5#?

1 Answer
Oct 9, 2017

#10-x#

Explanation:

Being an equilateral triangle,
#2x-2=3x-6#
#6-2=3x-2x#
#4=x#
#:.length of the side=2x-2=(2*4)-2=6#
Length of third side
(1) #10-x=10-4=6#.
(2) #color(red)(6x+5=(6*4)+5=29)#
Hence #10-x# is the length of the third side.