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2.4 Classifying Triangles by Angles
Classification of triangles based on angles
Acute angled triangle:
If all the angles of a triangle are acute angles, then it is called an
acute angled triangle
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
Obtuse angled triangle:
A triangle containing an obtuse angle is called an
obtuse angled triangle
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, how to classify triangles according to their angles.
: A triangle whose angles are given by 75 degrees, 45 degrees and 60 degrees is a (an) ________ angled triangle.
: In a triangle the angles are given by 55 degrees, 25 degrees and 100 degrees. The triangle is a (an) ________.
Acute angled scalene triangle
Right angled scalene triangle
Obtuse angled scalene triangle
: The angles 70 degrees, 80 degrees and 30 degrees represents the angles of an acute angled triangle.
: If the angles of a triangle are given by 100 degrees, 30 degrees and 50 degrees, then the triangle is an right angled triangle.
: The angles 30 degrees, 60 degrees and 90 degrees represents a (an) ________ angled triangle.
: The angles 90 degrees, 30 degrees and 60 degrees represents an obtuse angled triangle.
: The angles 90 degrees, 45 degrees and 45 degrees represents a (an) ________ triangle.
Right angled isosceles
Acute angled isosceles
Obtuse angled scalene
: A (an) ________ angled triangle has its angle measures as 100 degrees, 60 degrees and 20 degrees.
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