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15 March, 11:30

8 Two sides of an equilateral triangle have lengths 2x - 2 and

3x - 6. Which could be the length of the third side: 10 - x or 6x + 5?

O neither 10 - x nor 6x + 5

O 10 - x only

O 6x + 5 only

O both 10 - x and 6x + 5

+5
Answers (1)
  1. 15 March, 11:41
    0
    It is necessary that 2x-2 and 3x-6 are equal since the triangle is equilateral, so 2x-2 = 3x-6 - -> x = 4. The side length of the triangle is 2*4 - 2 = 6. Plugging in x = 4, 10-x = 6 and 6x-5 = 17, so 10-x must be the third side.
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