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Two Sides and an Angle Not Between Them

Author: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?

Tick all that apply
  • A
  • B
Check my answer (3)

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

Tick all that apply
  • A
  • B
Check my answer (3)

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?

Tick all that apply
  • A
  • B
Check my answer (3)

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

Tick all that apply
  • A
  • B
Check my answer (3)

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?

Tick all that apply
  • A
  • B
Check my answer (3)

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