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MEAP Preparation - Grade 5 Mathematics
3.3 Classifying Triangles by Angles

Classification of triangles based on angles

  1. Acute angled triangle:

    • If all the angles of a triangle are acute angles, then it is called an acute angled triangle.

  2. Right angled triangle:
    • A triangle in which one of the angles is a right angle is called a right angled triangle.

    • In a right angled triangle, the side opposite to the right angle is called its hypotenuse.

  3. Obtuse angled triangle:
    • A triangle containing an obtuse angle is called an obtuse angled 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, how to classify triangles according to their angles.

Q 1: The angles 90 degrees, 30 degrees and 60 degrees represents an obtuse angled triangle.
True
False

Q 2: A (an) ________ angled triangle has its angle measures as 100 degrees, 60 degrees and 20 degrees.
Answer:

Q 3: If the angles of a triangle are given by 100 degrees, 30 degrees and 50 degrees, then the triangle is an right angled triangle.
False
True

Q 4: If, in a triangle, 70 degrees, 55 degrees and 55 degrees represents its angles, then the triangle is a (an) ________.
Obtuse angled isosceles triangle
Acute angled isosceles triangle
Right angled isosceles triangle

Q 5: The side opposite to the right angle in a right angled triangle is called the ________ of the triangle.
Answer:

Q 6: The angles 90 degrees, 45 degrees and 45 degrees represents a (an) ________ triangle.
Right angled isosceles
Obtuse angled scalene
Acute angled isosceles

Q 7: The angles 30 degrees, 60 degrees and 90 degrees represents a (an) ________ angled triangle.
Answer:

Q 8: A triangle whose angles are given by 75 degrees, 45 degrees and 60 degrees is a (an) ________ angled triangle.
Answer:

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