PQRS is a rhombus. If PR2 + QS2 = KPQ2, determine k

Assessment: JAMB UTME - Mathematics - 1989 Subject: General Mathematics

Question 1 Report

PQRS is a rhombus. If PR2 + QS2 = KPQ2, determine k
Answer Details
PR2 + QS2 = KPQ2
SQ2 = SR2 + RQ2
PR2 + SQ2 = PQ2 + SR2 + 2RQ2
= 2PQ2 + 2RQ2
= 4PQ2
∴ K = 4

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