Find the area and the perimeter of a square whose diagonal is 10 cm long.

Question

KnowledgeBoat · Accepted Answer

Let each side of square be a cm. Since, sides of square are perpendicular to each other, In right angle △ABC, By pythagoras theorem, ⇒ AC² = AB² + BC² ⇒ 10² = a² + a² ⇒ 100 = 2a² ⇒ a² = 50 ⇒ a = cm. Perimeter = 4a = cm. Area = a² = 50 cm². Hence, perimeter = cm and area = 50 cm².

Mathematics

Find the area and the perimeter of a square whose diagonal is 10 cm long.

Pythagoras Theorem

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