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2.3 Classifying Triangles by Sides
Classification based on sides
Triangles can be divided into three kinds according to the measures of their sides.
A triangle whose sides are equal is called an
All the angles of an equilateral triangle are equal.
A triangle in which two sides are equal is called an
In an isosceles triangle the unequal side is called the base of the triangle.
The base angles of an isosceles triangle are congruent.
If no two sides of a triangle are equal, it is called a
Read the above properties of triangles and answer the following questions:
Illustrate each of the above properties by drawing a triangle.
Write in your own words, the different classification of triangles based on sides.
: The sides of a triangle are given by 26/2 cm, 39/3 cm, 52/4 cm. The triangle is a (an) _________ triangle.
: "In an equilateral triangle all the sides are _________".
: If the angles of a triangle in degree measure are 60, 120/2 and 180/3, then it is a (an) _________ triangle.
: "A scalene triangle has its two sides equal in length".
: If the sides of a triangle are of lengths 45/3 cm, 24/2 cm and 30/2 cm, then the triangle is a (an) _________ triangle.
: "The base angles of an isosceles triangle are congruent".
: Name the triangle whose sides are given by 10'', 10'' and 10''.
: If the sides of a triangle are given by 6 cm, 5 cm and 7 cm, then the triangle is a _________ triangle.
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