Types and Properties of Triangles

The video tutorial on the Gis channel covers the classification of triangles. It explains how triangles are classified based on the size of their sides (equilateral, isosceles, scalene) and their angles (acute, right, obtuse). The instructor provides analogies to help memorize these classifications and emphasizes the importance of understanding both methods. The video concludes with a reminder to visit the Gis website for additional resources and exercises.

What are the two main criteria for classifying triangles?

• Shape and texture

• Color and size

• Size of sides and angles

• Number of sides and angles

Which type of triangle has all sides of equal length?

• Scalene

• Isosceles

• Equilateral

• Right

An isosceles triangle is characterized by having:

• One right angle

• All sides different

• Two equal sides

• Three equal sides

What is a scalene triangle?

• A triangle with a right angle

• A triangle with all sides different

• A triangle with two sides equal

• A triangle with all sides equal

Which analogy helps remember an equilateral triangle?

• It has a right angle

• It escapes all definitions

• It is in balance with all sides equal

• It has an isolated side

What defines an acute-angled triangle?

• One angle is greater than 90 degrees

• All sides are equal

• All angles are less than 90 degrees

• All angles are 90 degrees

A right-angled triangle has:

• All sides different

• One angle exactly 90 degrees

• All angles less than 90 degrees

• Two angles of 90 degrees

What is an obtuse triangle?

• A triangle with all sides equal

• A triangle with one angle greater than 90 degrees

• A triangle with one angle exactly 90 degrees

• A triangle with all angles less than 90 degrees

What is the sum of all angles in any triangle?

• 90 degrees

• 270 degrees

• 180 degrees

• 360 degrees

If a triangle is classified by its angles, which of the following is not a possible classification?

• Equilateral

• Obtuse

• Right

• Acute