the side of a rhombus is 5cm if the length of one diagonal of the rhombus is 8cm, then find the length of the other diagonal
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the side of a rhombus is 5cm if the length of one diagonal of the rhombus is 8cm, then find the length of the other diagonal
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Answer:
The diagonals of a rhombus intersect at the right angle.
half of each diagonal and the length of the side will form as a right-angle triangle.
Diagonal =8 cm.
2
1
of the diagonal =
2
8
=4 cm
∴a
2
+b
2
=c
2
⇒a
2
+4
2
=5
2
⇒a
2
−25=16
⇒a
2
=9
⇒a=
9
⇒a=3.
Length of the diagonal
2
1
of the diagonal =3 cm
the diagonal =3×2=6 cm
∴ The length of the other diagonal is 6 cm.
Given :
find:-
solution:-
The relation between the diagonals and sides of a rhombus is given by ,
Substituting the values we have ,
Hence ,
The length of the other diagonal of the given rhombus is 6 cm