Respuesta :

Answer:

The value of AC = 5 units

Step-by-step explanation:

Given the triangles

  • ΔABC
  • ΔXYZ

In the diagram,

  • ΔABC ~ ΔXYZ

We know that two triangles are termed as similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Therefore,

AB : XY = AC : XZ

AB / XY  = AC / XZ

as

  • AB = 4
  • XY = 6
  • XZ = 7.5
  • AC = ?

so we can determine AC as the ratios of the side become

4 / 6  = AC / 7.5

AC = 4/6 × 7.5

      = 5 units

Therefore, the value of AC = 5 units