Respuesta :

Based on the angle-side relationship theorem, we would have the following:

  • Shortest side - AB
  • Longest side - BC
  • Smallest angle - ∠C
  • Largest angle - ∠A

What is the Angle-side Relationship Theorem?

The angle-side relationship theorem states that the longest side of a triangle is opposite the largest angle, and vice versa.

Given the following:

  • m∠A = 82°  (largest angle)
  • m∠B = 58°
  • m∠C = 180 - 82 - 58 = 40° (smallest angle)

Therefore, based on the angle-side relationship theorem, we would have the following:

  • Shortest side - AB
  • Longest side - BC
  • Smallest angle - ∠C
  • Largest angle - ∠A

Learn more about angle-side relationship theorem on:

https://brainly.com/question/18980866