Question

if possible, draw an obtuse equilateral triangle. if it is not possible, state why. choose the correct answer below. a. it is not possible because an equilateral triangle has three 60° angles.

Explanation:

Step1: Recall triangle - angle properties

An equilateral triangle has all sides equal and all angles equal. The sum of interior angles of a triangle is 180°. So each angle of an equilateral triangle is $\frac{180^{\circ}}{3}=60^{\circ}$.

Step2: Recall obtuse - angle definition

An obtuse - angle is an angle that measures greater than 90° and less than 180°.

Step3: Analyze the possibility

Since each angle of an equilateral triangle is 60°, which is less than 90°, an equilateral triangle cannot have an obtuse angle.

Answer:

A. It is not possible because an equilateral triangle has three 60° angles.