The diagonals AC and BD of a rhombus ABCD meet at O. If AC = 8 cm and BD = 6 cm, find sin ∠OCD.
Trigonometrical Ratios
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Question

The diagonals AC and BD of a rhombus ABCD meet at O. If AC = 8 cm and BD = 6 cm, find sin ∠OCD.

KnowledgeBoat · Accepted Answer

Since, diagonals of rhombus bisect each other. ∴ O is the mid point of AC. In right angled ∆COD, ⇒ CD² = OC² + OD² [By pythagoras theorem] ⇒ CD² = 4² + 3² ⇒ CD² = 16 + 9 ⇒ CD² = 25 ⇒ CD = ⇒ CD = 5 cm. sin ∠OCD = sin ∠OCD = . Hence, sin ∠OCD = .

Mathematics

The diagonals AC and BD of a rhombus ABCD meet at O. If AC = 8 cm and BD = 6 cm, find sin ∠OCD.

Trigonometrical Ratios

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