Question

question 24 of 50
a scalene triangle will have side lengths of 12, 8, and 6.
true
false

Explanation:

Step1: Recall scalene triangle definition

A scalene triangle has all three sides of different lengths. Also, check triangle inequality: for sides \(a\), \(b\), \(c\), \(a + b>c\), \(a + c>b\), \(b + c>a\).

Step2: Check side lengths 12, 8, 6

First, all sides (12, 8, 6) are distinct. Now check triangle inequality:
\(8 + 6 = 14>12\), \(8 + 12 = 20>6\), \(6 + 12 = 18>8\). So they satisfy triangle inequality and all sides are different, so it's a scalene triangle.

Answer:

True