Question

In a triangle PQR, P=90 S the mid point of side QR , if QR=10,then is the length of PS
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Answer 1

Answer:

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Answer 2

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