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X and Y are centres of circles of radius 9cm and 2cm and XY = 17cm. Z is the centre of a circle of radius 4 cm

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asked Jan 25, 2018 in Mathematics by Annu Priya (18,055 points) ● 24 ● 45 ● 84

X and Y are centres of circles of radius 9cm and 2cm and XY = 17cm. Z is the centre of a circle of radius 4 cm, which touches the above circles externally. Given that angle XZY=90o, write an equation in r and solve it for r.

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answered Jan 25, 2018 by Annu Priya (18,055 points) ● 24 ● 45 ● 84
 
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Let r be the radius of the third circle
XY = 17cm => XZ = 9 + r YZ = 2

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