Respuesta :

mhanifa

Answer:

  • 6 units²

Step-by-step explanation:

Area of ΔABC is:

  • A = 1/2*AB*CD

We have:

  • AC = 3
  • AD = 1.8

Find CD using Pythagorean:

  • CD² = AC² - AD² ⇒ CD² = 3² - 1.8² ⇒ CD² = 5.76 ⇒ CD = √5.76 = 2.4

Find DB using the following identity, coming from ratios of corresponding sides of similar triangles:

  • CD² = AD*DB
  • 5.76 = 1.8*DB
  • DB = 5.76/1.8
  • DB = 3.2

Find AB:

  • AB = AD + DB
  • AB = 1.8 + 3.2
  • AB = 5

Find the area of ΔABC:

  • A = 1/2*5*2.4
  • A = 6 units²