Let ABC be an equilateral triangle with side length 10 and P be a point inside the triangle such that ∣PA∣2+∣PB∣2+∣PC∣2=128. What is the area of a triangle with side lengths ∣PA∣,∣PB∣,∣PC∣?<spanclass=′latex−bold′>(A)</span> 63<spanclass=′latex−bold′>(B)</span> 73<spanclass=′latex−bold′>(C)</span> 83<spanclass=′latex−bold′>(D)</span> 93<spanclass=′latex−bold′>(E)</span> 103 geometryarea of a triangle