Each side of a rhombus is 5cm and one of the diagonals is 8cm . Calculate the length of another diagonal
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Let ABCD is a rhombus where,
AC & BD are a diagonal and O is a center point and AC=8 cm
AB=BC=CD=DA=5Cm
Diagonal of rhombus intersect at 90°
Let ∆A0B
1/2diagonal
5²=4²+AO²
25-16=AO²
AO=√9
AO=3cm
2AO=3×2cm=6cm
diagonal of rhombus is 6 cm
AC & BD are a diagonal and O is a center point and AC=8 cm
AB=BC=CD=DA=5Cm
Diagonal of rhombus intersect at 90°
Let ∆A0B
1/2diagonal
5²=4²+AO²
25-16=AO²
AO=√9
AO=3cm
2AO=3×2cm=6cm
diagonal of rhombus is 6 cm
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