lLavenderl
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  • 20-11-2018
  • Mathematics
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What is the value of x?



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Tucon
Tucon Tucon
  • 20-11-2018

 

The triangle ABC is equilateral.

⇒ AB = BC = AC

6x - 3 = 5x  ⇒  6x - 5x = 3 ⇒ x = 3 cm

6x - 3 = 3x + 6 ⇒ 6x - 3x = 6 + 3 ⇒ 3x = 9 ⇒ x = 9/3 = 3 cm

5x = 3x + 6 ⇒ 5x - 3x = 6 ⇒ 2x = 6 ⇒ x = 6/2 = 3 cm

⇒⇒⇒  x = 3

AB 6x - 3 = 6 - 3 + 3 = 18 - 3 = 15

AC = 3x + 6 = 3 × 3 + 6 = 9 + 6 = 15 cm

BC = 5x = 5 × 5 = 15 cm

⇒⇒⇒  AB = AC = BC = 15 cm


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