HMMT 二月 2000 · 几何 · 第 3 题
HMMT February 2000 — Geometry — Problem 3
题目详情
英文原题
- Find P B , giv en that P A = 15 ; P C = 20 ; P D = 7, and AB C D is a square.
A B
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D C
解析
英文解析
- Let s be the side length of AB C D . Sin e AB C D is a square, we an write 2 s =
2 2 2 2
( P A ) + ( P C ) = ( P B ) + ( P C ) . So, we an substitute in for P A , P C , and P D to getthat P B = 24 .