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Abc~xyz with ab=16 and xy=24 if the length of the median of the smaller triangle is 6in how long is the corresponding median of the larger triangle ? (show your work)

Respuesta :

Answer:

9 inches

Step-by-step explanation:

Since the triangle are similar then the ratios of corresponding sides are equal

let x be the longer median, then

[tex]\frac{16}{24}[/tex] = [tex]\frac{6}{x}[/tex] ( cross- multiply )

16x = 6 × 24 = 144 ( divide both sides by 16 )

x = 9



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