bon1829 bon1829
  • 02-12-2019
  • Mathematics
contestada

Find the length of BC if ABC is equilateral with AB=12x+4 and AC=8x+12

Respuesta :

jimrgrant1 jimrgrant1
  • 02-12-2019

Answer:

BC = 28

Step-by-step explanation:

Since the triangle is equilateral then all 3 sides are congruent.

Equate AB and AC and solve for x, that is

12x + 4 = 8x + 12 ( subtract 8x from both sides )

4x + 4 = 12 ( subtract 4 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2, thus

AC = 8x + 12 = (8 × 2) + 12 = 16 + 12 = 28

Since the 3 sides are congruent then BC = 28

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