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How many different triangles can be constructed with side lengths 5 inches, 7 inches, and 15 inches? exactly one triangle​ more than one triangle​ no triangles

2 Answers

4 votes
no triangle

(work below)

7+5 < 15 (no)
7+15 > 5 (yes)
15+5 > 7 (yes)
User Rethinavel
by
8.4k points
6 votes

Answer:

No triangles

Explanation:

we know that

The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

In this problem


5+7 > 15 ------> is not true

therefore

No triangles can be constructed with the given side lengths

User MrJLP
by
7.9k points

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