Answer:
1. Acute Isosceles Triangle
2. Equiangular Equilateral Triangle
3. Obtuse Scalene Triangle
Explanation:
Triangle 1:
It is given that there are two congruent sides. By the definition of an Isosceles Triangle, where at least two or more sides are congruent, it is an Isosceles Triangle.
An acute angle is less than 90 degrees. A right angle is 90 degrees. An obtuse angle is greater than 90 degrees. An equiangular triangle is a triangle whose angles are all of the same measure.
By these definitions, Triangle 1 is an acute Isosceles Triangle.
Triangle 2:
It is given that all three sides are congruent. By the definition of an Equilateral Triangle, where all the sides must be congruent, this is an Equilateral Triangle.
An equilateral triangle is also equiangular. So, Triangle 2 is an equiangular Equilateral Triangle.
Triangle 3:
It is given that none of the sides are congruent. By the definition of a Scalene Triangle, where none of the sides are congruent, this is a Scalene Triangle.
By the angle definitions above, as one of the angles are greater than 90 degrees, this is an obtuse triangle.
So, Triangle 3 is an obtuse Scalene Triangle.