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### Geometry2.4 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 side opposite to the right angle in a right angled triangle is called the ________ of the triangle.Answer: Q 2: If the angles of a triangle are given by 100 degrees, 30 degrees and 50 degrees, then the triangle is an right angled triangle.FalseTrue Q 3: In a triangle the angles are given by 55 degrees, 25 degrees and 100 degrees. The triangle is a (an) ________.Obtuse angled scalene triangleAcute angled scalene triangleRight angled scalene triangle Q 4: The angles 90 degrees, 30 degrees and 60 degrees represents an obtuse angled triangle.FalseTrue Q 5: A triangle whose angles are given by 75 degrees, 45 degrees and 60 degrees is a (an) ________ angled triangle.Answer: Q 6: If, in a triangle, 70 degrees, 55 degrees and 55 degrees represents its angles, then the triangle is a (an) ________.Obtuse angled isosceles triangleRight angled isosceles triangleAcute angled isosceles triangle Q 7: A (an) ________ angled triangle has its angle measures as 100 degrees, 60 degrees and 20 degrees.Answer: Q 8: The angles 70 degrees, 80 degrees and 30 degrees represents the angles of an acute angled triangle.FalseTrue Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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