The perimeter of a rhombus is 96 cm and obtuse angle of it is 120°. Find the lengths of its diagonals.
Trigonometric Identities
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The perimeter of a rhombus is 96 cm and obtuse angle of it is 120°. Find the lengths of its diagonals.

KnowledgeBoat · Accepted Answer

ABCD is a rhombus. Perimeter of rhombus = 4 x side Hence, side AB = BC = CD = DA = = 24 cm ∠ ABC = 120° As we know that diagonal of a rhombus bisect each other at 90°. In Δ ABO, ∠ ABO = = 60° ∴ AC = 2 x AO = 2 x 20.78 = 41.56 cm Similarly, ∴ BD = 2 x BO = 2 x 12 = 24 cm Hence, the lengths of the diagonals are: AC = 41.56 cm and BD = 24 cm.

Mathematics

The perimeter of a rhombus is 96 cm and obtuse angle of it is 120°. Find the lengths of its diagonals.

Trigonometric Identities

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