. RICE is a rhombus . RC = 24 and EI = 10 are two diagonal intersecting at O. Find the sides of the Rhombus. (hint pythagoras theorem)
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Step-by-step explanation:
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=
2
1
×AC=
2
1
×10=5cm and
BO=
2
1
×BD=
2
1
×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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