Eeeeee76
Eeeeee76 Eeeeee76
  • 12-08-2022
  • Mathematics
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I cant solve this problem

I cant solve this problem class=

Respuesta :

devishri1977
devishri1977 devishri1977
  • 12-08-2022

Answer:

y = 6.5

Step-by-step explanation:

Basic proportionality theorem or Thales theorem:

  If a line is drawn parallel to one side of the triangle and intersect the other two sides, then the line divides the other two sides in the same ratio.

[tex]\sf \dfrac{BL}{LD}=\dfrac{BK}{KC}\\\\\dfrac{13}{y}=\dfrac{10}{5}\\\\Cross \ multiply,\\\\13*5 = y *10\\\\\dfrac{13*5}{10}=y\\\\\dfrac{13}{2}=y\\\\\boxed{\bf y = 6.5}[/tex]

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