Question

Find BC if segment AD is an altitude of triangle ABC PLEASE HELP

Answer 1

BC = 96

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