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harina [27]
2 years ago
5

Math Help Help Fast Alot of points

Mathematics
2 answers:
MrMuchimi2 years ago
8 0

Here mark the angles

  • m<FHG=75
  • m<FGH=55
  • m<GHI=59°
  • m<GIH=63°

By using angle sum property

  • m<IGH=180-122=58

So

  • m<FGH < m<IGH <m<GHI <m<GIH <m <FHG

So

  • FH<IH<GI<GH<FG
salantis [7]2 years ago
4 0

Answer:

IH < GI < GH < FH < FG

Step-by-step explanation:

<u>Find missing angles</u>

Sum of interior angles of a triangle = 180°

⇒ ∠GFH = 180 - 55 - 75 = 50°

⇒ ∠IGH = 180 - 59 - 63 = 58°

<u>Side lengths in relation to interior angles</u>

The longest side of a triangle is opposite the largest interior angle, and the shortest side is opposite the smallest angle.

Therefore, angles/sides in order of least to greatest:

ΔIGH

∠IGH = 58  →   its opposite side is IH

∠GHI = 59  →   its opposite side is GI

∠G|H = 63  →   its opposite side is GH

Therefore,  IH < GI < GH

ΔFGH

∠GFH = 50  →  its opposite side is GH

∠FGH = 55  →   its opposite side is FH

∠FHG = 75  →   its opposite side is FG

Therefore, GH < FH < FG

Combining:  IH < GI < GH < FH < FG

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