Question

the diagonal of a rhombus are 24cm and 10 cm fond the length of a side of rhe rhombus ​

Answer 1

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$\sf\pink{*q = Diagonal }$

Answer 2

Step-by-step explanation:

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The diagonal of a rhombus are 24cm and 10 cm. Find the length of a side of the Rhombus.

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☆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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${\tt{\pink{\underline{\underline{\huge{⋆➠Hope It Helps You :)}}}}}}$