What is the length of PB?

What is the length of PB? #sat #act #math #Ptolemy's Theorem

[@Grizzly01-vr4pn]

Didn't spot the cyclic quad. I instead used the law of cosines on △PCB as ∠PCB = arctan(2) - 45°. Did need a calculator unfortunately, to get to (16√10)cos(arctan(2) - 45°) = 48

[@SATMathPrepLTP]

I love your approach! I especially liked you using the arctan. Thank you for sharing your knowledge and passion for math!

[@amritpatel3794]

Like it!!!

[@SATMathPrepLTP]

Thank you for watching the video and your kind feedback. Have a great day!!

[@SATMathPrepLTP]

<a href="#" class="seekto" data-time="12">0:12</a> error: Points A and B >> Points A and C