Respuesta :

Answer:

x = 2

Step-by-step explanation:

GIVEN :-

  • KJ = 3 units
  • QR = 12 units
  • JL = x units
  • QS = x + 6 units

TO FIND :-

  • The value of x

SOLUTION :-

To find the value of x , lets assume that both the triangles are similar to each other. As they are similar , their sides are proportional to each other i.e. :-

[tex]\frac{KJ}{JL} = \frac{QR}{QS}[/tex]

[tex]=> \frac{3}{x} = \frac{12}{x + 6}[/tex]

  • Cross multiply the denominators.

[tex]=> 3(x + 6) = 12 \times x[/tex]

[tex]=> 3x + 18 = 12x[/tex]

  • Substract both the sides from 3.

[tex]=> 12x - 3x = 3x + 18 - 3x[/tex]

[tex]=> 9x = 18[/tex]

  • Divide both the sides by 9

[tex]=> \frac{9x}{9} = \frac{18}{9}[/tex]

[tex]=> x = 2[/tex]

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