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Answer:</h2>
<em>Three sides measuring 5 in., 12 in., and 14 in.
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Explanation:</h2>
First of all, you need to know some facts about every triangle:
FIRST FACT:
If two sides of a triangle are , then the third side must be less than . Why? because if its length is exactly , then you can't build up a triangle, but you'll have a line segment. In other words:
SECOND FACT:
The internal angles of any triangle add up to 180°. So if ∠A, ∠B and ∠C are the internal angles of a triangle, then:
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So let's analyze each case:
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Case 1. Three angles measuring 25 degrees, 65 degrees, and 90 degrees
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<em>The sum is greater than 180 degrees, so these angles can't form a triangle</em>
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Case 2. Three angles measuring 50 degrees, 50 degrees, and 50 degrees
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<em>The sum is less than 180 degrees, so these angles can't form a triangle</em>
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Case 3. Three sides measuring 5 in., 12 in., and 14 in.
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<em>The inequalities are true, so these sides form a triangle. </em>
Case 4: Three sides measuring 4 ft, 8 ft, and 14 ft
<em>Since the third inequality is not true, then we can't form a triangle with these sides.</em>