Question

the lengths of the sides of triangle abc are represented in terms of the variable m, where m > 6.
ab = m - 2
bc = m + 4
ac = m
list the angles from smallest to largest.
angle ▼, angle ▼, angle ▼

Explanation:

Step1: Compare side lengths

Since \(m > 6\), \(AB = m - 2\), \(AC = m\), \(BC = m + 4\). So \(AB < AC < BC\).

Step2: Relate sides to opposite angles

In a triangle, the smallest angle is opposite the shortest side, and the largest angle opposite the longest side.

• \(AB\) (shortest) is opposite \(\angle C\)
• \(AC\) (middle) is opposite \(\angle B\)
• \(BC\) (longest) is opposite \(\angle A\)

Answer:

angle C, angle B, angle A