February 15th, 2015, 07:12 AM  #1 
Newbie Joined: Feb 2015 From: Dhaka Posts: 4 Thanks: 0  using pythagoras theorem
PQRS is a rectangle in which PQ=10 cm and PS=6 cm. T is a point on PQ such that RST is an isosceles triangle whose equal sides are RS and ST.Find RT.

February 15th, 2015, 07:52 AM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,822 Thanks: 1049 Math Focus: Elementary mathematics and beyond 
ST²  PS² = 64 hence TQ = 2. TQ² + QR² = 40 hence RT = 2√(10).


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