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Answered

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Which of the following triangle side lengths will form a triangle?

2 cm, 5cm, 6 cm
1 cm, 4 cm, 7 cm
3 cm, 6 cm, 10 cm
6 cm, 7 cm, 13 cm

Sagot :

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Answer:

The correct option is (C) 3 cm, 4 cm, 5 cm.

Step-by-step explanation:

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Answer:

The correct answer would be 3 cm, 4cm, and 5 cm

Step-by-step explanation:

To form a triangle we should always remember that a triangle is possible when sum of two smaller sides of the triangle is greater than the largest side.  

If smaller sides are a, b and largest side is c  

Then a + b > c  

Now we take each option given  

Option A) 2 cm, 2 cm, 4 cm  

2 + 2 = 4 which equal to the largest side so to form a triangle is not possible.  

Option B) 3 cm, 5 cm, 10 cm  

3 + 5 = 8 < 10 cm  

Here sum of smaller sides is less than to the largest side so triangle will not be formed.  

Option C. 3 cm, 4 cm, 5 cm  

3 + 4 = 7 > 5 cm  

Therefore triangle can be formed.  

Option D) 4 cm, 8 cm, 15 cm  

4 + 8 = 12 < 15 cm  

so triangle can not be formed.  

Option C is the correct option.

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