Types of Triangles on the basis of Sides

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There are different types of triangles on the basis of sides and measures of their angles.

Type of Triangles on the basis of Sides

Scalene Triangle : A triangle whose all sides of different lengths is called Scalene Triangle.

In the above figure we can see that AB ≠ BC ≠ AC.

Isosceles Triangle : A triangle whose any two sides are equal is called an Isosceles Triangle.

Here, in the ΔABC, two sides are equal, AB = AC.

Equilateral Triangle : A triangle whose all sides are equal to one another, is called an Equilateral Triangle.

In the ΔABC, all the three sides are equal, AB = BC = AC
Practice


Q.1 Classify the following triangles on the basis of their sides mentioned below:



Q.2 Name the type of the triangle.

a) AB = 5 cm; BC = 3 cm and AC = 5 Cm.
b) PQ = 8 cm; QR = 8 cm and PR = 8 cm.
c) XY = 6 cm; YZ = 4 cm and XZ = 5 cm.
d) LM = 2 cm; MN = 4 cm and LN = 3 cm.
e) RA = AT = RT = 6.4 cm f) ST = 6.1cm; UT = 5.8cm and SU = 4.6cm
g) RM = MO = 8.2cm and RO = 9cm
















Answer


Q.1
(i) Scalene Triangle
(ii) Isosceles Triangle
(iii) Equilateral Triangle
(iv) Scalene Triangle
(v) Isosceles Triangle

Q.2
a) Isosceles triangle.
b) Equilateral triangle.
c) Scalene triangle.
d) Scalene triangle.
e) Equilateral triangle.
f) Scalene triangle.
g) Isosceles triangle.
Triangles

Introduction to Triangles
Types of Triangles on the basis of Sides
Types of Triangles on the basis of Angles
Angle Sum Property of Triangles
Exterior and Interior angles of Triangle
Triangle Inequality Property
Congruent Triangles
Postulates of Congruent Triangle
Inequality in Triangle

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