Question

Lara wrote the following statement:

"You can only draw one unique isosceles triangle that contains an angle of 75°."

Which statement is true?


A. Lara is correct, because only one unique triangle can be drawn with the given information.

B. Lara is incorrect, because the triangle described cannot be drawn with the given information.

C. Lara is incorrect, because more than one triangle can be drawn with the given information.

D. None of the above.

Answer 1

C. Lara is incorrect, because more than one triangle can be drawn with the given information.

Answer 2

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

Explanation:

An isosceles triangle is a triangle which has only one pair of equal sides or equal angles.

Since, If one angle of isosceles triangle is 75°,

Then there are two possible cases,

Case 1: The angles of the triangles are 75°, 75° and 30°.

Case 2: The angles of the triangle are 75°, 52.5° and 52.5°.

Hence, she is incorrect because more than one triangle can be possible by the given information.

⇒ Option C is correct.