Respuesta :

Answer:

BC = 96

Step-by-step explanation:

Since AD is an altitude, then ∠ ADC = 90° , thus

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

Thus

BC = BD + DC

     = 2x + 3x - 4

    = 5x - 4

    = 5(20) - 4 = 100 - 4 = 96