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vlada-n [284]
2 years ago
13

A. Find the length of the midsegment of an equilateral triangle with side lengths of 12.5 cm.

Mathematics
1 answer:
pantera1 [17]2 years ago
5 0

Answer:

  • a. 6.25
  • b. AT = 33
  • c. y = 3

Step-by-step explanation:

a. <u>Midsegment is half the length of the parallel side:</u>

  • 12.5/2 = 6.25

b. <u>Segment addition postulate:</u>

  • AB = AT + TB = 3x + 6 + 42 - x = 2x + 48

<u>Perpendicular bisector of segment divides the segment in two equal halves:</u>

  • AT = TB
  • 3x + 6 = 42 - x
  • 4x = 36
  • x = 9

<u>AT is:</u>

  • AT = 3*9 + 6
  •      = 33

c) <u>The point on the angle bisector H is equidistant from the point E and G</u>:

  • EH = HG
  • 5y + 10 = 28 - y
  • 5y + y = 28 - 10
  • 6y = 18
  • y = 3
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