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Scalene Triangle

Definition of Scalene Triangle

A triangle in which all the three sides are of different lengths is called a Scalene Triangle

More About Scalene Triangle

• A triangle with no congruent sides is called scalene triangle.
• Perimeter of a scalene triangle is given as:
• P = a + b + c, where a, b, c, are the sides of the triangle.
• All the angles of a scalene triangle are not equal.

Example of Scalene Triangle

In the given figure, the length of the sides a, b, and c are not equal. So, it is a scalene triangle.

Solved Example on Scalene Triangle

Ques: Identify the scalene triangle from the figures shown.

Choices:
A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 1 and Figure 4
Correct Answer: D

Solution:

Step 1: In a scalene triangle, all the sides are unequal.
Step 2: Here, Figure 1 and Figure 4 have all the sides unequal.
Step 3: So, Figure 1 and Figure 4 are scalene triangles.

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