Question

O is the center of the circle of radius 5cm.T is a point such that ot=13cm and ot intersects the circle at

e. If ab is the tangent to the circle at

e.Find the length of ab

Answer 1

OP is equals to a radius is equals to 5 let AE equals to BE be x.

in triangle OPT, OP²+OT²=PT²

Then, PT=12cm.

Now, AT=12-x and AE=x

And TE=13-5=8cm.

Now in triangle AET, AT²=AE²-ET²

x= 10/3cm.

AB=AE+ BE =2x=2×10/3=20/3cm.

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