dontoliver01 dontoliver01
  • 01-09-2021
  • Mathematics
contestada

Find the length indicated.

Find the length indicated class=

Respuesta :

ARYANAGARWAL ARYANAGARWAL
  • 09-09-2021

Answer:

The length of [tex]BC[/tex] is [tex]3[/tex] units.

Step-by-step explanation:

The points [tex]A,B,C[/tex] are collinear and [tex]B[/tex] is in middle of [tex]A,C[/tex], so the expression that can justify the given statement is,

[tex]AB+BC=AC[/tex]

The given values are,

[tex]\begin{aligned}AB&=10\\AC&=13\end{aligned}[/tex]

Substituting values in the expression, it becomes,

[tex]\begin{aligned}AB+BC&=AC\\10+BC&=13\\BC&=13-10\\BC&=3\end{aligned}[/tex]

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