In the given figure, the incircle of ΔPQR touches the sides QR, RP and PQ at
L, M and N respectively.
Show that : (PN + QL + RM) = (PM + QN + RL) =
1
/ 2 (perimeter of ΔPQR)
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Step-by-step explanation:
Take a spring of medium stiffness, about 20 cm in length. Fix the upper end of the spring
to a rigid support. On the lower end attach a scale pan of known mass so that the system
hangs vertically. Pull the pan 1-2 cm downwards and release. The pan will oscillate up
and down. Measure the time of 20 oscillations with the help of a stop watch and calculate
the time period of oscillation of pan. Now place a middle size pebble on the pan, set it in
oscillations and determine the time period of oscillation again. Calculate the mass of the
pebble using the data obtained from your observations.
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