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  • 04-02-2019
  • Mathematics
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Find the length of CU, the triangles are similar.

Find the length of CU the triangles are similar class=

Respuesta :

jimrgrant1 jimrgrant1
  • 04-02-2019

Answer:

CU = 117

Step-by-step explanation:

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

[tex]\frac{WC}{WU}[/tex] = [tex]\frac{CD}{UV}[/tex]

substituting in values to the ratios

[tex]\frac{26}{36x-1}[/tex] = [tex]\frac{24}{132}[/tex] ( cross- multiply )

24(36x - 1) = 3432 ( divide both sides by 24 )

36x - 1 = 143 ( add 1 to both sides )

36x = 144 ( divide both sides by 36 )

x = 4

CU = 36x - 1 - 26 = (36 × 4) - 27 = 144 - 27 = 117


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