vazquezbrian0101 vazquezbrian0101
  • 19-10-2018
  • Mathematics
contestada

In △ABC, ∠A ≅ ∠C. If AB = 4x + 25, BC = 2x + 45, and AC = 3x − 15, determine the length of side AB.

Respuesta :

mhanifa
mhanifa mhanifa
  • 07-01-2021

Answer:

  • 65

Step-by-step explanation:

If angles A and C are congruent, then opposite sides should be congruent as well:

  • AB = BC
  • 4x + 25 = 2x + 45
  • 4x - 2x = 45 - 25
  • 2x = 20
  • x = 10

Then AB is:

  • AB = 4x + 25
  • AB = 4*10 + 25 = 65
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