If #triangleJKL# is an equilateral triangle, JK=13x+5, KL=17x-19, JL=8x+35, how do you find x and the measure of each side?

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Answer 1 · 2017-01-16T10:08:20

X = 6 and Side = 83

As the triangle is equilateral, so it's all sides are equal.

Hence , 13 x + 5 = 17 x - 19

#rArr 13 x - 17 x = - 19 - 5#

#rArr - 4 x = - 24#

#rArr x = (-24)/-4#

#rArr x = 6#

Each side i.e. JK = 136+5 = 83, KL = 176 - 9 = 83 and

JL = 8*6+35 = 83