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### Grade 7 - Mathematics7.5 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: In a triangle, the sides are given as 6cm, 6cm and 4cm. Which of the following best describes this triangle.Equilateral TriangleScalene triangleIsosceles Triangle Q 2: 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 3: Name the triangle whose sides are given by 10'', 10'' and 10''.Equilateral TriangleScalene TriangleIsosceles Triangle Q 4: "The base angles of an isosceles triangle are congruent".FalseTrue Q 5: In a (an) _________ triangle the unequal side is called the base of the triangle scaleneisoscelesequilateral Q 6: If the sides of a triangle are given by 6 cm, 5 cm and 7 cm, then the triangle is a _________ triangle.Answer: Q 7: "A scalene triangle has its two sides equal in length".TrueFalse Q 8: 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: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!