In classification of triangle there are six elements in a triangle, that is, three sides and three angles. So, classification of triangle is done on the base of these elements.

Triangles are classified in two ways:

*(i) On the basis of sides and,
(ii) On the basis of angles.*

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According to Sides

A triangle in which all the three sides are unequal in length is called a *scalene triangle*.

AC > BC >AB

6 cm > 5 cm > 4.5 cm.

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A triangle in which two of its sides are equal is called *isosceles triangle*.

PQ = PR = 6 cm.

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A triangle in which have all its three sides equal in length is called an *equilateral triangle*.

LM = MN = NL = 5.5 cm

A triangle which has all the three angles acute that is, less than 90°, is called *an acute angled triangle* or *acute triangle*.

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A triangle whose one angle is obtuse or more than 90° but less than 180° is called an *obtuse angled triangle* or *obtuse triangle*.

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A triangle whose one angles is a right angle (that is 90°) is called a *right angled triangle* or *right angle*.

Classification of Triangle

**To Construct a Triangle whose Three Sides are given.**

**To Construct a Triangle when Two of its Sides and the included Angles are given.**

**To Construct a Triangle when Two of its Angles and the included Side are given.**

**To Construct a Right Triangle when its Hypotenuse and One Side are given.**

**Worksheet on Construction of Triangles.**

**5th Grade Geometry** **5th Grade Math Problems** **From Classification of Triangle to HOME PAGE**

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