Which of the following measures can form a triangle?
3, 4, 6
Concept:
The sum of two sides of a triangle must be greater than the length of the third side.
Calculation:
Option 1:
2 + 3 < 6
5 < 6
⇒ The sum of the two sides of the triangle is less than the length of the third side.
This option is incorrect.
Option 2:
3 + 4 > 6
7 > 6
4 + 6 > 3
10 > 3
3 + 6 > 4
9 > 4
The sum of the two sides of the triangle must be greater than the length of the third side.
This option is correct.
3 + 4 = 7
The sum of the two sides of the triangle is equal to the length of the third side.
This option is incorrect.
4 + 6 < 12
10 < 12
⇒ The sum of the two sides of the triangle is less than the length of the third side.
This option is incorrect.
Option: 2 is correct.
Important Questions from Properties of Triangles
What is the perimeter of the triangle ?
Consider the following statements :
1. ABC is right angled triangle
2. The angles of the triangle are in AP
Which of the statements given above is/are correct ?
What is the nature of the triangle ?
If c = 8, what is the area of the triangle ?
What is the value of n ?
