7) In triangle PQR , <PQR=90° ,and PR=10 cm if S be the
mid-point of PR, what is the length of QS is
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Answer:5cm
Step-by-step explanation: CONSTRUCTION: Extend QS to ST , such that QS = ST
Now, PTRQ is a parallelogram ( as its diagonals bisect each other)
< PQR = 90° ( given)
=> PTRQ is a rectangle. ( //gm with an angle = 90° is rectangle)
=> PR = QT ( diagonals of rectangles are equal)
=> QS = PR/2
=> QS = 10/5 = 5 cm
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