Question

What is PA
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Answer 1

3

Explanation:

P is the in-center

⇒PA=PE=PD because they are in-radius of the in-circle

We know that, tangent segments drawn from a point outside the circle are always equal in length

⇒DK=EK=7.2

In right triangle PKE,

using Pythagoras' Theorem :
`PK^(2)=PE^(2)+KE^(2)`

⇒
`PE^(2)=PK^(2)-KE^(2)`

⇒
`PE=\sqrt{PK^(2)-KE^(2) }`

⇒
`PE^(2)=\sqrt{7.8^(2)-7.2^(2)} }`

⇒
`PE=3`

Therefore,
`PA=3`