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X = 34 cm and Y = 16 cm.
Step-by-step explanation:
∆AOB is a right angle triangle. So Pythagorean rule applies. Means AO² + AB² = OB². So 30² + 16² = 34².
So x = 34 cm.
Here if we draw another line from O to C, so ∆BOC is also a right angled triangle. Hence BO² - OC² = BC².
So 34² - 30²(OC is aso diameter, so it is too 30 cm) = 16². So Y is 16 cm
So x = 34cm and y = 16cm.
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