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Is there a triangle whose sides have len...

Is there a triangle whose sides have lengths 10.2 cm, 5.8 cm and 4.5 cm?

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To determine if a triangle can be formed with sides of lengths 10.2 cm, 5.8 cm, and 4.5 cm, we will use the triangle inequality theorem. This theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. We will check this condition for all three combinations of the sides. ### Step-by-Step Solution: 1. **Identify the sides of the triangle:** - Let the sides be \( a = 10.2 \) cm, \( b = 5.8 \) cm, and \( c = 4.5 \) cm. 2. **Check the first condition:** ...
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