Calculate the area of the shaded region.

From figure, Area of △AOB = × base × height = × AO × OB = × 12 × 5 = 30 cm 2 . In right angle triangle AOB, Using pythagoras theorem, ⇒ AB 2 = AO 2 + OB 2 ⇒ AB 2 = 12 2 + 5 2 ⇒ AB 2 = 144 + 25 ⇒ AB 2 = 169 ⇒ AB = = 13 cm. In △ABC, Let a = BC = 14 cm, b = AC = 15 cm and c = AB = 13 cm. s = = 21 cm. By Heron's formula, Area = Substituting values we get, Area of shaded region = Area of △ABC - Area of △AOB = 84 - 30 = 54 cm 2 . Hence, area of shaded region = 54 cm 2 .

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Mathematics

Calculate the area of the shaded region.

Mensuration

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