Grade 7 - Mathematics 7.6 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 hypotenuse.

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:

Illustrate each of the above properties by drawing a triangle.

Write in your own words, how to classify triangles according to their angles.

Q 1: If, in a triangle, 70 degrees, 55 degrees and 55 degrees represents its angles, then the triangle is a (an) ________. Right angled isosceles triangle Obtuse angled isosceles triangle Acute angled isosceles triangle

Q 2: A triangle whose angles are given by 75 degrees, 45 degrees and 60 degrees is a (an) ________ angled triangle. Answer:

Q 3: A (an) ________ angled triangle has its angle measures as 100 degrees, 60 degrees and 20 degrees. Answer:

Q 4: 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 5: The angles 70 degrees, 80 degrees and 30 degrees represents the angles of an acute angled triangle. True False

Q 6: The angles 90 degrees, 30 degrees and 60 degrees represents an obtuse angled triangle. True False

Q 7: In a triangle the angles are given by 55 degrees, 25 degrees and 100 degrees. The triangle is a (an) ________. Right angled scalene triangle Acute angled scalene triangle Obtuse angled scalene triangle

Q 8: The angles 90 degrees, 45 degrees and 45 degrees represents a (an) ________ triangle. Right angled isosceles Acute angled isosceles Obtuse angled scalene

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