Question

If A ABC is an equilateral triangle such that AD I BC, then AD-=​

Answer 1

Answer:

K = 3  if triangle ABC is an equilateral triangle such that ad perpendicular BC then ad²= K(DC)²

Step-by-step explanation:

ABC is an equilateral triangle

=> AB = BC = AC

AD ⊥ BC

=> ΔABD ≅ ΔACD

as AB = AC

   AD = AD  ( common)

  ∠ADB = ∠ADC = 90°

=> BD = CD  = BC/2

=> BC = 2 CD

=> AC = 2CD

AD² = AC² - CD²

=>AD² = (2CD)² - CD²

=> AD² = 3CD²

K = 3