SOLUTION: PQRS is a rectangle in which PQ=9cm and PS= 6cm.T is a point on PQ such that PT=7cm and RV is the perpendicular from R to ST. Calculate ST and RV.

Question 529460: PQRS is a rectangle in which PQ=9cm and PS= 6cm.T is a point on PQ such that PT=7cm and RV is the perpendicular from R to ST. Calculate ST and RV.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
SPT is a right triangle with legs SP and PT of lengths 6 and 7 cm.
The length of hypotenuse ST is

Right triangle RVS (with 9 cm long hypotenuse SR) is similar, with angle RSV=RST congruent with angle PTS.
We are looking for the length of the short leg of that triangle, RV, opposite to angle RSV, corresponding to short leg SP in triangle SPT

I get

which sounds too complicated an answer for a classroom problem.
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