Square PQRS has side length 1. Points A, B, C, and D are on PQ, QR, RS, and SP, respectively, with ABw, BC = x, CD =y, and DA = z. (a) Prove that 2 ≤ w² + x² + y² + z² < 4. (b) Prove that 2√2 ≤ w + x + y + z ≤ 4.
Square PQRS has side length 1. Points A, B, C, and D are on PQ, QR, RS, and SP, respectively, with ABw, BC = x, CD =y, and DA = z. (a) Prove that 2 ≤ w² + x² + y² + z² < 4. (b) Prove that 2√2 ≤ w + x + y + z ≤ 4.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 70E
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