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Help this is hard!

 

Two circles are externally tangent at $T.$  The line $AB$ is a common external tangent to the two circles, and $P$ is the foot of the altitude from $T$ to line $AB.$  If $AT = 4$ and $BT = 8$, then find the length $TP.$

 

 Jan 13, 2024
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The answer is TP = 7*sqrt(3).

 Jul 24, 2024

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