Question

Given rectangle PQRS with PQ=QR, PQ=SP, and SQ=6√2. Find SR. a)√2. b) 6. c) 5√2 d) not enough information

Answer 1

Given rectangle PQRS with PQ=QR, PQ=SP, and SQ=6√2. Find SR, SR is 6.

Answer 2

`Rectangle \: PQRS \: has \: PQ=QR\Rightarrow PQRS \: is \: a \: square \Rightarrow QR = SR \\ {SQ}^(2) = {SR}^(2) + {QR}^(2) = 2{SR}^(2) \\ \Leftrightarrow SR = \sqrt{ \frac{{SQ}^(2)}{2} } = \sqrt{ \frac{ {(6 √(2) )}^(2) }{2} } = \sqrt{ (72)/(2) } = √(36) = 6 \\ \Rightarrow b) \: 6`