Question

ps|| qr,pq=sr.prove that qt=ru​

Answer 1

Answer:

Hope it hells, its a but mess in EQ. 3

I m writing it here

(PT is perpendicular to QR, also

SU is perpendicular to QR, that too both from PS)

therefore PT=SU

Step-by-step explanation:

Answer 2

Answer

Ps||qr

Pq=sr given

In quad PSUT

Ps||tu

And Angle PTU +angle TUS is 180

Cointerior angles are supplement

Pt||su

PSUT is a parallelogram

Pt=su opp sides

In ∆PTQand∆SUR

Pt =su

Pq=sr

Angle PTQ=angleSUR =90

∆PTQ is congurent to ∆SUR

By RHS rule

QT=UR bu cpct

Hence proved