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Olegator [25]
3 years ago
6

Gerry wants to construct a triangle with segments that are 4, 6, and 11 inches long. Is his triangle possible? Explain how you k

now.
Mathematics
2 answers:
forsale [732]3 years ago
7 0

Answer:

<em>No, this triangle is not possible</em>

Step-by-step explanation:

By the Triangle Inequality Theorem, it should be that:

a + b > c,

a + c > b,        ⇒        <em> a, b, and c are sides of this triangle</em>

b + c > a

~ In this case let us say a = 4 inches, b = 6 inches, and c = 11 inches ~

4 + 6 > 11,

4 + 11 > 6,        ⇒        <em> </em><em>Here 10 is not greater than 3rd side and thus    </em>

11 + 6 > 4 <em>                                        doesn't form a triangle</em>

Fed [463]3 years ago
4 0
No, because side 11 is greater than the sum of the two other sides.
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3 years ago
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