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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=RS2−OS2 =(50 cm)2−(40 cm)2 =2500 cm2−1600 cm2 =900 cm2 OR=√900 cm2=30 cm. In Δ SOT, OT2+OS2=ST2 OT2=ST2−OS2 =(58 cm)2−(40 cm)2 =3364 cm2−1600 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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