Question

do the sides 6, 12, 18 form a triangle?
if so, classify the triangle as acute, obtuse, right or none.

Explanation:

Step1: Check triangle inequality

For three sides \(a\), \(b\), \(c\) (where \(c\) is the longest side), the triangle inequality states that \(a + b>c\). Here, \(a = 6\), \(b = 12\), \(c = 18\). So \(6+12 = 18\), but the triangle inequality requires \(a + b>c\) (strictly greater), not equal. So they don't form a triangle.

Step2: Conclusion on classification

Since they don't form a triangle, we can't classify it as acute, obtuse, or right.

Answer:

Do the sides 6, 12, 18 form a triangle? No
If so, classify the triangle as acute, obtuse, right or none: None (because the sides do not form a triangle)