benslick08
benslick08 benslick08
  • 10-12-2019
  • Mathematics
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ΔABC is similar to ΔPQR. Find the length of RP.

ΔABC is similar to ΔPQR Find the length of RP class=
ΔABC is similar to ΔPQR Find the length of RP class=

Respuesta :

calculista
calculista calculista
  • 16-12-2019

Answer:

[tex]RP=11.2\ ft[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

[tex]\frac{RP}{CA}=\frac{QR}{BC}[/tex]

substitute the given values

[tex]\frac{RP}{16.8}=\frac{14}{21}[/tex]

solve for RP

[tex]RP=\frac{14}{21}(16.8)[/tex]

[tex]RP=11.2\ ft[/tex]

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