Question

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

Answer 1

no triangle

(work below)

7+5 < 15 (no)
7+15 > 5 (yes)
15+5 > 7 (yes)

Answer 2

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