The length of the third side could be 13 - x
Step-by-step explanation:
In any equilateral triangle
∵ Two sides of an equilateral Δ have lengths 3x + 1 and -3x + 19
∵ All sides in the equilateral triangle are equal in lengths
- Equate 3x + 1 and -3x + 19
∴ 3x + 1 = -3x + 19
- Add 3x to both sides
∴ 6x + 1 = 19
- Subtract 1 from both sides
∴ 6x = 18
- Divide both sides by 6
∴ x = 3
- substitute x by 3 in 3x + 1 and -3x + 19 to find the length of the
2 sides of the equilateral Δ
∵ 3(3) + 1 = 9 + 1 = 10
∵ -3(3) + 19 = -9 + 19 = 10
∴ The length of the 2 sides of the equilateral Δ is 10 units
To find the third side substitute x by 3 in 13 - x and 6x - 6 to find
which one is equal to 10
∵ 13 - 3 = 10 ⇒ equal the other two sides
∵ 6(3) - 6 = 18 - 6 = 12 ⇒ not equal the other two sides
∴ 13 - x is the length of the third side of the triangle
The length of the third side could be 13 - x
Learn more:
You can learn more about the triangles in brainly.com/question/11236033
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