Respuesta :

Answer:

x = 7.2 , y = 10.8

Step-by-step explanation:

Since the triangles are similar then corresponding sides are in proportion, that is

[tex]\frac{AB}{PQ}[/tex] = [tex]\frac{BC}{QR}[/tex] substitute values

[tex]\frac{10}{6}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )

10x = 72 ( divide both sides by 10 )

x = 7.2

Similarly

[tex]\frac{AB}{PQ}[/tex] = [tex]\frac{AC}{PR}[/tex] , that is

[tex]\frac{10}{6}[/tex] = [tex]\frac{18}{y}[/tex] ( cross- multiply )

10y = 108 ( divide both sides by 10 )

y = 10.8

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Answer:

[tex]for \: similar \: triangles \: their \: side \\ ratio \: must \: be \: equal \\ \frac{ab}{pq} = \frac{bc}{qr} = \frac{ac}{pr} \\ \frac{10}{6} = \frac{12}{x} = \frac{18}{y} \\ \frac{5}{3} = \frac{12}{x} \\ x = \frac{12 \times 5}{3} = 4 \times 5 = 20 cm\\ \\ \frac{5}{3} = \frac{18}{y} \\ y = \frac{18 \times 5}{3} = 6 \times 5 = 30cm \\ thank \: you[/tex]

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