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
In a triangle ABC, a = (1 + √3) cm, b = 2 cm and angle C = 60°, then the other two angles are
In a triangle ABC, sec A (sin B cos C + cos B sin C) equals:
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 ?
If c = 8, what is the area of the triangle ?
If Δ = a2 - (b - c)2, where Δ is the area of the ΔABC, then tan A equals
