Match the following triangles with their names.

Column A
1. A triangle with sides 6 cm, 6 cm, and 5 cm. [ ]
2. A triangle with sides 4.5 cm, 4 cm, and 5 cm. [ ]
3. A triangle with sides 5.5 cm, 5.5 cm, and 5.5 cm. [ ]

Column B
(a) Equilateral triangle
(b) Isosceles triangle
(c) Scalene triangle

To solve this problem, we need to match each triangle with its correct name based on the properties of its sides.

Triangles and Their Properties:

An Equilateral Triangle has all three sides of equal length.
An Isosceles Triangle has exactly two sides of equal length.
A Scalene Triangle has all sides of different lengths.


Analyzing Each Triangle:
a. Triangle 1:

Sides: 6 cm, 6 cm, and 5 cm.
This triangle has two sides that are equal in length (6 cm, 6 cm) and one side that is not equal to the others (5 cm). This makes it an Isosceles Triangle .

b. Triangle 2:

Sides: 4.5 cm, 4 cm, and 5 cm.
All sides are of different lengths. This defines it as a Scalene Triangle .

c. Triangle 3:

Sides: 5.5 cm, 5.5 cm, and 5.5 cm.
All three sides are equal. This characterizes it as an Equilateral Triangle .


Matching to the Correct Names in Column B:

1. A triangle with sides 6 cm, 6 cm, and 5 cm: [b] Isosceles triangle
2. A triangle with sides 4.5 cm, 4 cm, and 5 cm: [c] Scalene triangle
3. A triangle with sides 5.5 cm, 5.5 cm, and 5.5 cm: [a] Equilateral triangle

Answered by JessicaJessy | 2025-07-22