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Two Sides and an Angle Not Between Them

Autor:John McLain
Are two congruent sides and an angle not between them enough for congruent triangles?

Given the original values, how many triangles are possible?

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Keeping the other values the same, make a = 5.5. How many triangles are possible now?

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Keeping the other values the same, how big would you need to make "a" so that you can only make one triangle?

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Keeping the other values the same, make a = 5. How many triangles are possible now?

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If the blue angle is acute, do you think two congruent sides and the angle not between them ALWAYS forces triangle to be the same?

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  • A
  • B
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Make the blue angle ninety degrees. Are there any side lengths that will produce more than one triangle?

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  • A
  • B
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If the blue angle is right, do you think two congruent sides and the angle not between them ALWAYS forces triangle to be the same?

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  • A
  • B
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Make the blue angle 120 degrees. Are there any side lengths that will produce more than one triangle?

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  • A
  • B
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If the blue angle is obtuse, do you think two congruent sides and the angle not between them ALWAYS forces triangle to be the same?

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  • A
  • B
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