find the length of the indicated line segment. a vertical line, z v cuts three horizontal parallel lines y z, w x, and u v which are perpendicular to line z v. another transverse line passes through points, y, w and u. the lengths of line segments, y w, w u and z x are labeled 20, 8 and 15 respectively. Find VX . ​

Respuesta :

Answer :

  • VX = 6 units

Explanation :

refer to the attached diagram

In Δ ZAV and ΔZBX,

using the similar triangles theorem ,

  • ZA/ZB = ZV/ZX
  • (20+8)/20 = (15 + VX)/15
  • 28/20 = 15 + VX
  • 28*15/20 = 15 + VX
  • 21 = 15 + VX
  • VX = 21 - 15
  • VX = 6

Ver imagen roohafzah