In the given figure, $AB = BC = 10$ cm. If $AC = 7$ cm, then the length of $BP$ is:

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Question

In the given figure, $AB = BC = 10$ cm. If $AC = 7$ cm, then the length of $BP$ is:

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Accepted Answer

Step 1: Tangents from external point are equal. Let $AR = AP = x$, $BP = BQ = y$, $CR = CQ = z$. Then $x + y = 10$, $x + z = 7$, $y + z = 10$. Solving: $y = 6.5$ cm.

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