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Tim wrote the following statement:

"You can only draw one unique isosceles triangle that contains an angle of 70°."

Which statement is true?
Tim is incorrect, because more than one triangle can be drawn with the given information.
Tim is correct, because only one unique triangle can be drawn with the given information.
Tim is incorrect, because the triangle described cannot be drawn with the given information.
None of the above.

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talkingturkey
My answer would be: Tim is incorrect, because more than one triangle can be drawn with the given information.

Given:
Isosceles triangle and has a 70° angle.

An isosceles triangle is a triangle that has 2 congruent angle. Since all interior angle must have a sum of 180°, the possible angles of an isosceles triangle with a 70° angle are:

1) 180° - 70° = 110°
110° / 2 = 55°
Angles are 70°-55°-55°

2) 180° - 70° = 110°
110° - 70° = 40°
Angles are 70°-70°-40°

The given information can create 2 isosceles triangle. Thus, Tim is wrong in his claims.

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