Respuesta :

SageRage

Answer:

  • If they are similar triangles then the ratio AE:BE equals the ratio DE:BC
  • The ratio AE:BE can be written as the fraction [tex]AE:BE=\frac{AE}{BE}= \frac{9cm}{BE}[/tex]
  • The ratio DE:BC can be written as the fraction [tex]DE:BE=\frac{DE}{BE}=\frac{6cm}{16cm} =\frac{3}{8}[/tex]
  • [tex]AE:BE=DE:BC\\\frac{9cm}{BE}=\frac{3}{8} \\BE*3=8*9cm\\BE*3=72cm\\BE=24cm[/tex]