isosceles and equilateral triangles worksheet answers explained

They can be classified according to 2 groups. There are six types of triangles in geometry.

When all the sides and angles of a triangle are equal, it is called an equilateral or equiangular triangle.įAQs on Types of Triangles What are the Types of Triangles in Geometry?.

The three internal angles in a triangle always add up to 180°.

In an equilateral triangle, each of the three internal angles is 60°.

Here is a list of a few points that should be remembered while studying the types of triangles:

Acute Scalene Triangle : A triangle that has 3 unequal sides and 3 acute angles is called an acute scalene triangle.

Obtuse Scalene Triangle : A triangle with an obtuse angle with sides of different measures is called an obtuse scalene triangle.

Right Scalene Triangle : A triangle in which any one of the angles is a right angle and all the 3 sides are unequal, is called a right scalene triangle.

Acute Isosceles Triangle : A triangle in which all 3 angles are acute angles and 2 sides measure the same is called an acute isosceles triangle.

Obtuse Isosceles Triangle : A triangle in which 2 sides are equal and one angle is an obtuse angle is called an obtuse isosceles triangle.

So, in an isosceles right triangle, two sides and two acute angles are congruent.

Isosceles Right Triangle: A triangle in which 2 sides are equal and one angle is 90° is called an isosceles right triangle.

Equilateral or Equiangular Triangle : When all sides and angles of a triangle are equal, it is called an equilateral or equiangular triangle.

The different types of triangles are also classified according to their sides and angles as follows: Types of Triangle Based on Sides and Angles

Isosceles and equilateral triangles worksheet answers explained