The value of x is 12
Step-by-step explanation:
Given triangle is an equilateral triangle so all of its sides will be equal.
We can get the value of x by putting any two sides equal
So,
AB=BC
[tex]4x-10=3x+2[/tex]
Subtracting 3x from both sides
[tex]4x-10-3x=3x+2-3x\\x-10=2[/tex]
Adding 10 on both sides
[tex]x-10+10=2+10\\x=12[/tex]
To verify that x's value is right
[tex]AB= 4x-10 = 4(12)-10 = 48-10 = 38\\BC=3x+2 = 3(12) +2 = 36+2 = 38\\AC = 5x-22 = 5(12)-22 = 60-22 = 38[/tex]
AB=BC=AC
Hence,
The value of x is 12
Keywords: Equilateral Triangle, Isosceles Triangle
Learn more about equilateral triangle at:
- brainly.com/question/9103248
- brainly.com/question/9045597
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