Question

Andy wrote the following statement:

"You can only draw one unique isosceles triangle that contains an angle of 55°."

Which statement is true?

A. Andy is correct, because only one unique triangle can be drawn with the given information.
B. Andy is incorrect, because more than one triangle can be drawn with the given information.
C. Andy is incorrect, because the triangle described cannot be drawn with the given information.
D. None of the above.

Answer 1

Answer: B. Andy is incorrect, because more than one triangle can be drawn with the given information.

Explanation:

Given: Andy wrote the following statement:

"You can only draw one unique isosceles triangle that contains an angle of 55°."

In isosceles triangle, there are two equal angles and one non-equal angle.

So, there is possibility of many isoceles triangles with 55°. It can be the measure of equal angles or non- equal angles.

hence, B is the right option. Andy is incorrect.

Answer 2

I believe it would be B. Because, an isoceles triangle is a triangle with 2 equal sides and 1 is not equal ... SO, more than one triangle could be drawn from this information. Because, 55 could be the uneven side for many triangles. So, B. Andy is incorrect, because more than one triangle can be drawn from the given info. :)

B. Hope it helps!!! :)