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.
Video Examples: Proportions, Triangles, MissingSides, Scalene Triangles
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.
Quick Summary
- All sides are of different lengths.
- All angles are unequal.
- Perimeter is the sum of all three sides.
🍎 Teacher Insights
Use visual aids to demonstrate the difference between scalene, isosceles, and equilateral triangles. Emphasize that no sides or angles are equal in a scalene triangle.🎓 Prerequisites
- Basic Triangle Properties
- Perimeter Calculation
Check Your Knowledge
Q1: Which of the following is a scalene triangle?
Q2: The sides of a triangle are 3cm, 4cm and 5cm. What type of triangle is it?
Frequently Asked Questions
Q: What distinguishes a scalene triangle from other triangles?
A: The key difference is that all three sides of a scalene triangle have different lengths, whereas isosceles triangles have two equal sides and equilateral triangles have all three sides equal.
Q: Are the angles in a scalene triangle equal?
A: No, all the angles in a scalene triangle are unequal.