Track / Stage 4 / 105 of 340 #365 of 2000

Problem 365

AMC 12 late, AIME early

Geometry Difficulty 4.7 Find the answer

57. Given Rt $\triangle ABC, AB=BC$ , point $P$ is inside this triangle, if $PA=5, PB=4, PC=1$ , then the area of the square with $AC$ as its diagonal is $\qquad$ .

Your answer

Official solution

Answer: 17

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.