9th-Grade-Math---USA
Congruent-Triangles
Easy

Question

The true statements among the following are
I. There can be a triangle of side length 2, 6, 7
II. There can be a triangle of side length 2, 6, 8
III. There can be a triangle of side length 2, 6, 9

  1. All three are true
  2. all three are false
  3. Only I is true
  4. Only I is false

The correct answer is: Only I is true

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text  In  end text capital delta ABC if straight m angle straight A equals left parenthesis 2 straight a plus 5 right parenthesis to the power of straight o comma straight m angle straight B equals left parenthesis 3 straight a minus 15 right parenthesis to the power of straight o comma straight m angle straight C equals 60 to the power of straight o, then the value a is

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text  If  end text increment ABC approximately equal to straight capital delta DEF semicolon straight capital delta DEF approximately equal to straight capital delta GIH comma straight m angle straight A equals 2 straight x to the power of straight o semicolon straight m angle straight E equals left parenthesis straight x plus 9 right parenthesis to the power of straight o semicolon straight m angle straight H equals 6 straight x to the power of straight o, then the value of x is

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