Answer:
GH < HJ < GJ < JI < GI
Step-by-step explanation:
In a triangle:
- The smallest side length is opposite the smallest angle
- The longest side length is opposite the largest angle
Also,
- The sum of the interior angles of a triangle is 180°
m∠G = 180 - 12 - 76 = 90°
m∠H = 76°
m∠I = 12°
⇒ GH < GI < HI
Triangle GHJ:
m∠HGJ = 63°
m∠GHJ = 76°
m∠GJH = 180 - 76 - 63 = 41°
⇒ GH < HJ < GJ
Triangle JGI
m∠JGI = 180 - 12 - 139 = 29°
m∠GIJ = 12°
m∠GJI = 180 - 41 = 139°
⇒ GJ < JI < GI
Final solution: GH < HJ < GJ < JI < GI
