marleykimmel marleykimmel

21-12-2020
Mathematics

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

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

Respuesta :

jimrgrant1 jimrgrant1

21-12-2020

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

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