Find the area of a rhombus whose one side measures 5 cm and one diagonal as 8 cm.
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Answer:
Diagonals bisect each other and they are perpendicular in rhombus
Let half the length of second diagonal be x
As two diagonals and a side form right angled triangle ;
⇒x
2
+4
2
=5
2
⇒x=3
⇒length of 2nd side =2x=6cm
Area of rhombus =
2
1
d
1
d
2
=
2
1
×8×6
=24cm
2
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