If two sides of a triangle are 6 cm, and 14cm. What are the limiting values of the third side?
- 8 < x < 20
- 6 < x < 20
- 4 < x < 22
- None of these
Explanation
According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let the third side be x.
Given sides: 6 cm and 14 cm
The third side x must satisfy:
1. x + 6 > 14 => x > 8
2. x + 14 > 6 => x > -8 (this is always true since x is positive)
3. 6 + 14 > x => x < 20
Combining these conditions:
8 < x < 20
Related MCQs
- 33 cm
- 50 cm
- 66 cm
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 40
- 45
- 50
- 55
اس سوال کو وضاحت کے ساتھ پڑھیں
- 50 cm
- 40 cm
- 30 cm
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- Right angle
- Reflex angle
- Complementary angle
- Supplementary angle
اس سوال کو وضاحت کے ساتھ پڑھیں
- 256 cm²
- 196 cm²
- 224 cm²
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
