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HMMT 二月 2000 · 几何 · 第 3 题

HMMT February 2000 — Geometry — Problem 3

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. Find P B , giv en that P A = 15 ; P C = 20 ; P D = 7, and AB C D is a square. A B C C C C ##### P aaaaa D C
解析
  1. Let s b e the side length of AB C D . Sin e AB C D is a square, w e an write 2 s = 2 2 2 2 ( P A ) + ( P C ) = ( P B ) + ( P C ) . So, w e an substitute in for P A , P C , and P D to get that P B = 24 .