Answer:
x = 15 , y = 8
Step-by-step explanation:
Since the triangles are similar, then ratio of corresponding sides are in proportion, that is
[tex]\frac{x}{45}[/tex] = [tex]\frac{17}{51}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )
3x = 45 ( divide both sides by 3 )
x = 15
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Similarly
[tex]\frac{y}{24}[/tex] = [tex]\frac{1}{3}[/tex] , so
3y = 24 ( divide both sides by 3 )
y = 8
