# Based on the sides, classify the following triangles (figures not drawn to the scales).

(i) Given: three sides of the triangle: 3cm, 4cm and 5cm.

As we know, if all the sides of a triangle are of different lengths then the triangle is a scalene triangle.

So, the given triangle is scalene triangle.

(ii) Given: three sides of triangle: 4cm, 7cm and 5cm.

As we know, if all the sides of a triangle are of different lengths then the triangle is a scalene triangle.

So, the given triangle is scalene triangle.

(iii) Given: three sides of triangle: 3.5cm, 4.5cm and 6cm.

As we know, if all the sides of a triangle are of different lengths then the triangle is a scalene triangle.

So, the given triangle is scalene triangle.

(iv) Given: three sides of triangle: 6.5cm, 6.5cm and 4cm.

As we know, if two of the sides of a triangle are of equal length then the triangle is an isosceles triangle.

So, the given triangle is isosceles triangle.

(v) Given: three sides of triangle: 3cm, 5.6cm and 4.3cm.

As we know, if all the sides of a triangle are of different lengths then the triangle is a scalene triangle.

So, the given triangle is scalene triangle.

(vi) Given: three sides of triangle: 2.5cm, 4.1cm and 3.2cm.

As we know, if all the sides of a triangle are of different lengths then the triangle is a scalene triangle.

So, the given triangle is scalene triangle.

(vii) Given: three sides of triangle: 5cm, 9cm and 6cm.

As we know, if all the sides of a triangle are of different lengths then the triangle is a scalene triangle.

So, the given triangle is scalene triangle.

(viii) Given: three sides of triangle: 3cm, 3cm and 3cm.

As we know, if all the sides of a triangle are of equal length then the triangle is an equilateral triangle.

So, the given triangle is equilateral triangle.

(ix) Given: three sides of triangle: 5cm, 5cm and 3.5cm.

As we know, if two of the sides of a triangle are of equal length then the triangle is an isosceles triangle.

So, the given triangle is isosceles triangle.

(x) Given: three sides of triangle: 6cm, 6cm and 8cm.

As we know, if two of the sides of a triangle are of equal length then the triangle is an isosceles triangle.

So, the given triangle is isosceles triangle.

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Karnataka Board - Mathematics Part I