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Question
If length of two sides of a triangle are 6 cm and 10 cm, then the length of the third side can be ______.
Options
3 cm
4 cm
2 cm
6 cm
Solution
If length of two sides of a triangle are 6 cm and 10 cm, then the length of the third side can be 6 cm.
Explanation:
We know that,
The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.
So, 6 cm + 10 cm > 3rd side
3rd side < 16 cm
The difference between the lengths of any two sides of a triangle is always smaller than the length of the third side.
So, 10 – 6 < 3rd side
3rd side > 4 cm
Therefore, 6 cm is the length of the 3rd side.
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