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trasher [3.6K]
3 years ago
8

If GHJ is an equilateral triangle, GH = 2x +17, HJ = 6x-19, and GJ = 4x-1, find X and the measure of each side..

Mathematics
1 answer:
Blababa [14]3 years ago
5 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

∆ GHJ is an Equilateral triangle ,

Thus the sides are same.

So :

GH = HJ = GJ

2x + 17 = 6x - 19 = 4x - 1

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

2x + 17 = 6x - 19

Add sides 19

2x + 17 + 19 = 6x - 19 + 19 \\

2x + 36 = 6x

Subtract sides 2x

- 2x + 2x + 36 =  - 2x + 6x

36 = 4x

4x = 36

Divide sides by 4

\frac{4x}{4}  =  \frac{36}{4}  \\

x = 9

So ;

GH = 2(9) + 17

GH = 18 + 17

GH = 35

Thus ;

GH = HJ = GJ = 35

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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