the radii of 2 concentric circles is 13cm and 8cm. AB is a diameter of bigger circle and BD is tangent to smaller circle touching it at D and intersecting the larger circle at P, on producing. Find length AP
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Answered by
340
r= 8cm
R=13cm
angle ODB= 90 degrees ( BD is tangent)
angle APB =90 degrees ( angle in semicircle)
angle DB0 =ANGLE PBA (COMMON)
SO, BY AA criteria tri APB similar to tri DBO
BY CPST ...... BD/BP=BO/AB= OD/ AP
OD/AP= BO/AB
8/AP=13/26
AP=16 cm
R=13cm
angle ODB= 90 degrees ( BD is tangent)
angle APB =90 degrees ( angle in semicircle)
angle DB0 =ANGLE PBA (COMMON)
SO, BY AA criteria tri APB similar to tri DBO
BY CPST ...... BD/BP=BO/AB= OD/ AP
OD/AP= BO/AB
8/AP=13/26
AP=16 cm
Answered by
182
Here is ur answer mate!!!
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