viktorioussss viktorioussss
  • 23-05-2020
  • Mathematics
contestada

What is the length of line segment GH?
3 units
4 units
5 units
6 units

What is the length of line segment GH 3 units 4 units 5 units 6 units class=

Respuesta :

jimrgrant1 jimrgrant1
  • 23-05-2020

Answer:

GH = 6 units

Step-by-step explanation:

Calculate GC using Pythagoras' identity in right triangle GCE

GC² = 9² + 12² = 81 + 144 = 225 ( take the square root of both sides )

GC = [tex]\sqrt{225}[/tex] = 15

GH + HC = GC ← HC is the radius of the circle and HC = 9, thus

GH + 9 = 15 ( subtract 9 from both sides )

GH = 6

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