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MEAP Preparation - Grade 7 Mathematics
4.16 Classifying Triangles by Sides

Classification based on sides

Triangles can be divided into three kinds according to the measures of their sides.
  1. Equilateral triangle:
    • A triangle whose sides are equal is called an equilateral triangle.
    • All the angles of an equilateral triangle are equal.
  2. Isosceles triangle:
    • A triangle in which two sides are equal is called an isosceles triangle.
    • In an isosceles triangle the unequal side is called the base of the triangle.
    • The base angles of an isosceles triangle are congruent.
  3. Scalene triangle:
    • If no two sides of a triangle are equal, it is called a scalene triangle.

Directions: Read the above properties of triangles and answer the following questions:
  1. Illustrate each of the above properties by drawing a triangle.
  2. Write in your own words, the different classification of triangles based on sides.

Q 1: If the sides of a triangle are given by 6 cm, 5 cm and 7 cm, then the triangle is a _________ triangle.
Answer:

Q 2: In a triangle, the sides are given as 6cm, 6cm and 4cm. Which of the following best describes this triangle.
Scalene triangle
Isosceles Triangle
Equilateral Triangle

Q 3: "In an equilateral triangle all the sides are _________".
Answer:

Q 4: "A scalene triangle has its two sides equal in length".
False
True

Q 5: If the angles of a triangle in degree measure are 60, 120/2 and 180/3, then it is a (an) _________ triangle.
Answer:

Q 6: 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.
Answer:

Q 7: The sides of a triangle are given by 26/2 cm, 39/3 cm, 52/4 cm. The triangle is a (an) _________ triangle.
Answer:

Q 8: In a (an) _________ triangle the unequal side is called the base of the triangle
equilateral
scalene
isosceles

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Question 10: This question is available to subscribers only!


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