kaileyleeann1279
kaileyleeann1279 kaileyleeann1279
  • 26-01-2021
  • Mathematics
contestada

If LMN ~ YXZ and the perimeter of YXZ is 144 , Find XZ

If LMN YXZ and the perimeter of YXZ is 144 Find XZ class=

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 26-01-2021

Answer:

XZ = 51

Step-by-step explanation:

perimeter of LMN = 72 + 52 + 68 = 192

XZ/MN = 144/192 = 3/4

XZ/MN = 3/4

The scale factor from triangle LMN to triangle YXZ is 3/4.

XZ/68 = 3/4

XZ = 3/4 * 68

XZ = 204/4

XZ = 51

Answer Link
Dammy06
Dammy06 Dammy06
  • 26-01-2021

Answer:

XZ=51

Step-by-step explanation:

In∆ LMN,

Perimeter = 72+52+68

=192

And using similar triangles, XY is similar to MN

MN/Perimeter of LMN= XY/Perimeter of XYZ

68/192=XZ/144

XZ=[144×68]/192

XZ=51

Answer Link

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