Question

meena has a pair of blue jeans with the design below on its back pockets. which of the following best describes the triangle with the given measures? a. obtuse equilateral triangle b. obtuse isosceles triangle c. acute equilateral triangle d. acute isosceles triangle

Explanation:

Step1: Recall angle - type definitions

An acute - angled triangle has all angles less than 90°. An obtuse - angled triangle has one angle greater than 90°. Since the given angles are 60° each (less than 90°), the triangle is acute.

Step2: Recall triangle - side and angle relationships

An equilateral triangle has all angles equal (each 60°) and all sides equal. An isosceles triangle has two equal sides and two equal angles. Since all angles are 60°, all sides are equal, so it is an equilateral triangle.

Answer:

C. acute equilateral triangle