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Question:

The maximum area of a triangle inscribed in a semi-circle having radius 10cm is ...........cm²

10

200

50

100

Solution:

For ΔABC, inscribed in a semi-circle of radius 10cm, base = 2r = 20
Largest altitude that can be drawn will be 10cm
Area of ABC = 1/2 × base × altitude = 1/2 × 20 × 10 = 100cm²