HasnaT296939 HasnaT296939
  • 25-10-2022
  • Mathematics
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10 of 13Next3.2 Similar FiguresThe triangles are similar. Find the length of the missingside.

10 of 13Next32 Similar FiguresThe triangles are similar Find the length of the missingside class=

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LianniF478041 LianniF478041
  • 25-10-2022

Given that the triangles are equal then the ratio of similar sides are equal

(x + 3)/15 = x/(15 - 6)

(x + 3)/15 = x/9

Cross multiply

15x = 9(x + 3)

Expand

15x = 9x + 27

Collect like terms

15x - 9x = 27

6x = 27

Divide both sides by 6

x = 27/6

= 9/2

= 4.5

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