Final Answer:
Classify each triangle by its angles and sides. 60° 60° 60° is Isosceles and equiangular. (option b)
Step-by-step explanation:
The triangle with angles measuring 60°, 60°, 60° is classified as an equiangular triangle because all its angles are equal. Additionally, in an equiangular triangle, all sides are also congruent, making it an equilateral triangle. Hence, the correct classification for this triangle is (option b) Isosceles and equiangular. Even though it possesses angles of 60°, making it acute, its sides are equal, which classifies it as an equilateral triangle.
An equiangular triangle, such as the one described, has three equal angles, each measuring 60°. This property also indicates that the triangle's sides are congruent, hence making it an equilateral triangle as well. However, since not all equilateral triangles have angles of 60°, it's specifically termed as equiangular, emphasizing the equal angles.
Understanding different types of triangles based on their angles and sides is crucial in geometry and various real-world applications, including architecture, engineering, and design. Equiangular triangles possess unique properties that differentiate them from other types, such as their equal angles and congruent sides.