Find the length of the required tangent — task. Mathematics State Board, Class 10.

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$TP$ and

$TQ$ are two tangents from the point

$T$ to the circle having its centre at

$O$ .

$AB$ is another tangent touching the circle externally at

$E$ intersecting

$TP$ at

$A$ and

$TO$ at

$Q$ . If the radius of the circle is 36

$cm$ and the length of

$OT$ passing through

$E$ is 85

$cm$ , determine the length of

$AB$ .

Answer:

The length of

$AB$ is

$cm$ .

[Note: If the answer is a whole number, enter as it is. If not, enter the answer up to one decimal place.]

$1$

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11. Find the length of the required tangent