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  • 08-10-2019
  • Mathematics
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Given ΔABC is similar to ΔDEF, calculate the value of BC.

Given ΔABC is similar to ΔDEF calculate the value of BC class=

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jimrgrant1 jimrgrant1
  • 08-10-2019

Answer:

BC = 6.4

Step-by-step explanation:

Since the triangles are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{BC}{EF}[/tex] = [tex]\frac{AC}{DF}[/tex] ← substitute values

[tex]\frac{BC}{12}[/tex] = [tex]\frac{8}{15}[/tex] ( cross- multiply )

15BC = 96 ( divide both sides by 15 )

BC = 6.4

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