In rhombus if diagonals are 30 cm and 40 cm, find its perimeter.

Question

KnowledgeBoat · Accepted Answer

Let AC = 30 cm and BD = 40 cm. We know that, Diagonals of rhombus are perpendicular and bisect each other, OB = = 20 cm and AO = AC = 15 cm. In right triangle AOB, By pythagoras theorem we get, ⇒ AB² = AO² + OB² ⇒ AB² = 15² + 20² ⇒ AB² = 225 + 400 ⇒ AB² = 625 ⇒ AB = 25 cm. Hence, each side of rhombus is 25 cm as all sides of rhombus are equal. Perimeter = 4(Side) = 100 cm. Hence, perimeter of rhombus = 100 cm.

Mathematics

In rhombus if diagonals are 30 cm and 40 cm, find its perimeter.

Pythagoras Theorem

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Mathematics

In rhombus if diagonals are 30 cm and 40 cm, find its perimeter.

Pythagoras Theorem

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