Question

question 8 of 10
classify the following triangle. check all that apply.
a. isosceles
b. scalene
c. obtuse
d. acute
e. right
f. equilateral

Explanation:

Step1: Analyze the side - length property

Since all three sides of the triangle are equal (marked with the same tick - marks), by the definition of an equilateral triangle (a triangle with all three sides equal), it is an equilateral triangle. An equilateral triangle is also an isosceles triangle (a triangle with at least two sides equal).

Step2: Analyze the angle - measure property

In an equilateral triangle, each angle is \(60^{\circ}\) (because the sum of angles in a triangle is \(180^{\circ}\) and \(180\div3 = 60\)). Since \(0^{\circ}<60^{\circ}<90^{\circ}\), all angles are acute. So the triangle is acute.

Answer:

A. Isosceles, D. Acute, F. Equilateral