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Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of the diagonals is 8 cm long, find the length of the other diagona

 Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of the diagonals is 8 cm long, find the length of the other diagona

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

Since a rhombus is also a kind of a parallelogram.
Formula for Area of rhombus = Base×Altitude
Putting values, we have
Area of rhombus = 6×4 = 24
Area of rhombus is 24 cm^2
Also, Formula for Area of rhombus = (1⁄2)×d1d2
After substituting the values, we get
24 = (1⁄2)×8×d2
d2= 6
Hence, the length of the other diagonal is 6 cm.

Thanks

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