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

Given \( AB = m - 2 \), \( AC = m \), \( BC = m + 4 \) and \( m>6 \).
Since \( m - 26 \)), we have \( AB

Step2: Relate sides to angles

In a triangle, the larger side is opposite the larger angle.

• \( AB \) is opposite \( \angle C \),
• \( AC \) is opposite \( \angle B \),
• \( BC \) is opposite \( \angle A \).

So, the angles opposite the sides in order \( AB

Answer:

\(\angle C\), \(\angle B\), \(\angle A\)