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The diagonal of a rhombus are 24cm and 10 cm fond the length of a side of rhe rhombus |
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Answer» -STEP EXPLANATION:The DIAGONAL of a rhombus are 24cm and 10 cm. FIND the length of a side of the Rhombus.___________________________________☆Let ABCD be the rhombus where, AC= 10cm and BD= 24cm☆Let AC and BD intersect each other at O. ☆Now, diagonals of rhombus bisect each other at right angles.☆Thus, we have➛AO= ½ ×AC= ½ ×10=5cm ➛BO= ½×BD= ½×24= 12cm☆In right angled △AOB,⇒ (AB)² =(AO)² +(BO)²⇒ (AB)² =(5)² +(12)² ⇒ (AB)² =25+144⇒ (AB) ² = 169∴ AB= 13cm∴ The length of each side of rhombus is 13cm.___________________________________ |
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