haileydoss15
haileydoss15 haileydoss15
  • 26-03-2022
  • Mathematics
contestada

AABC ~ AQRS
Find the missing side length, n.
R
B
6
n
U
2
c
5
s
n = [?]
Enter

AABC AQRS Find the missing side length n R B 6 n U 2 c 5 s n Enter class=

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jimrgrant1 jimrgrant1
  • 26-03-2022

Answer:

n = 15

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{RS}{BC}[/tex] = [tex]\frac{QS}{AC}[/tex] ( substitute values )

[tex]\frac{n}{6}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )

2n = 30 ( divide both sides by 2 )

n = 15

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