abc is equilateral with AB=3x-2,BC=2x+4, and CA= x+10

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23-05-2018
Mathematics

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abc is equilateral with AB=3x-2,BC=2x+4, and CA= x+10

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altavistard altavistard · Answer 1 · 2018-05-23T16:28:17+02:00

altavistard altavistard

23-05-2018

AB = BC, so 3x-2 = 2x+4. Also, BC = CA, so 2x+4=x+10.

Solve this system of linear equations:

3x-2 = 2x+4
2x+4=x+10 => x=6

Check: Does AB=BC? Does AB=BC?

Does 3(6)-2 = 2(6)+4? Does 16=16? YES.
Does BC = CA? Does 2(6)+4 = 6+10? YES

x = 6 (answer)

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