Point $A$ lies on a circle with centre $O$. Point $P$ is outside the circle, with $OA=6$ cm,

Question

Point $A$ lies on a circle with centre $O$. Point $P$ is outside the circle, with $OA=6$ cm, $AP=8$ cm and $OP=10$ cm. Show that the line $AP$ is tangent to the circle at $A$.[3]

Accepted Answer

$AP\perp OA$ at $A$, so $AP$ is tangent.

Justifying a tangent

Justifying a tangent

Solution:

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