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Question

We all know that a kite is basically a sheet of thin paper stretched on a wooden frame. Ram had one such kite as shown in the figure below. Unfortunately the central wooden stick (ROT) broke. What length of wood would he require to replace it?


A

32 cm

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B

42 cm

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C

52 cm

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D

72 cm

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Solution

The correct option is D

72 cm


In Δ ROS,
OR2+OS2=RS2
OR2=RS2OS2
=(50 cm)2(40 cm)2
=2500 cm21600 cm2
=900 cm2
OR=900 cm2=30 cm.
In Δ SOT,
OT2+OS2=ST2
OT2=ST2OS2
=(58 cm)2(40 cm)2
=3364 cm21600 cm2
OT=1764 cm2=42 cm. 1764
The wooden stick equals ROT, i.e., RO + OT = 30 cm + 42 cm = 72 cm.


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