Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

ordering sides list the sides in order from shortest to longest. 16.

Question

ordering sides list the sides in order from shortest to longest.
16.

Explanation:

Step1: Find the measure of angle \(G\)

The sum of angles in a triangle is \(180^{\circ}\). So, \(m\angle G=180-(35 + 120)=25^{\circ}\)

Step2: Recall the side - angle relationship

In a triangle, the side opposite the smaller angle is shorter.

  • Opposite \(25^{\circ}(\angle G)\) is side \(HJ\)
  • Opposite \(35^{\circ}(\angle H)\) is side \(GJ\)
  • Opposite \(120^{\circ}(\angle J)\) is side \(HG\)

Answer:

\(HJ