Question

In the triangle PQR, angle PQR=90 degree and PR=10 cm. If S is the midpoint of PR then
the length of is-a)4cm b)5cm c)6cm d) 3cm.
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Answer 1

Answer:

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

Answer 2

Answer:

(b) 5cm

BY MEDIAN THEOREM