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Marianna [84]
3 years ago
12

What’s the range of possible sizes for side x

Mathematics
1 answer:
Harrizon [31]3 years ago
3 0

Answer:

The rule for triangle sides is that any one side must be less than the sum of the other two sides.

x < 6+5.8

x < 11.8

6 < x+5.8

6-5.8 < x

0.2 < x

5.8 < x+6

5.8-6 < x

-0.2 < x

* x is a distance, cannot be negative or zero

0.2 < x < 11.8

Step-by-step explanation:

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  • 112 cm

Step-by-step explanation:

<u>Given:</u>

  • AB = 192 cm
  • AC : CB = 1 : 3
  • CD = BC/12
  • The distance between midpoints of AD and CB = x

<u>Find the length of AC and CB:</u>

  • AC + CB = AB
  • AC + 3AC = 192
  • 4AC = 192
  • AC = 192/4
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<u>Find CB:</u>

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<u>Find the length of CD:</u>

  • CD = BC/12 = 144/12 = 12 cm

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  • AD = AC - CD = 48 - 12 = 36 cm

<u>Find the midpoint of AD:</u>

  • m(AD) = 36/2 = 18 cm

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