SOLUTION: In the diagram below, circle with centre O has a radius of 5 cm. Segment AT is tangent to the circle. AO = 13 cm, and AX = XY (this length is labeled m). Find the length of m.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: In the diagram below, circle with centre O has a radius of 5 cm. Segment AT is tangent to the circle. AO = 13 cm, and AX = XY (this length is labeled m). Find the length of m.       Log On

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Question 1204853: In the diagram below, circle with centre O has a radius of 5 cm. Segment AT is tangent to the circle. AO = 13 cm, and AX = XY (this length is labeled m). Find the length of m.
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Answer by mananth(16946) About Me  (Show Source):
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From Figure
13^2= AT^2+5^2 ( Pythagoras theorem) OAT
AT^2 = 144 ,AT =12
'
OX =m+5, XT =(12-m)
(m+5)^2= 5^2+(12-m)^2 ( Pythagoras theorem) OMT
Find m