Calculate the area of the shaded region.

Question

KnowledgeBoat · Accepted Answer

From figure, Area of △AOB = × base × height = × AO × OB = × 12 × 5 = 30 cm². In right angle triangle AOB, Using pythagoras theorem, ⇒ AB² = AO² + OB² ⇒ AB² = 12² + 5² ⇒ AB² = 144 + 25 ⇒ AB² = 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 cm². Hence, area of shaded region = 54 cm².

Mathematics

Calculate the area of the shaded region.

Mensuration

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Mathematics

Calculate the area of the shaded region.

Mensuration

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