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Question

In the given figure, find the measure of side DC.


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Solution

In right-angled triangle DBO,
OB2=OD2+BD2
OD2=2O2122
=400144 =256
OD=16 units.
In right angled triangle CAO
OA2=OC2+AC2
OC2=OA2AC2
OC2=202162
OC2=400256 =144
OC=12 units.
Here, DC=OD+OC =16+12 =28 units.

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