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The area of rhombus is 480cm² and one it's diagonals is of length 24 cm. find the other diagonal.?
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The area of rhombus is 480cm² and one it's diagonals is of length 24 c...
Understanding the Area of a Rhombus
The area of a rhombus can be calculated using the formula:
Area = (d1 * d2) / 2
Where d1 and d2 are the lengths of the diagonals.
Given Data
- Area of the rhombus = 480 cm²
- Length of one diagonal (d1) = 24 cm
Finding the Other Diagonal (d2)
To find the length of the other diagonal (d2), we can rearrange the area formula:
480 = (24 * d2) / 2
Now, simplify and solve for d2:
- Multiply both sides by 2:
960 = 24 * d2
- Divide both sides by 24:
d2 = 960 / 24
- Calculate d2:
d2 = 40 cm
Conclusion
The length of the other diagonal (d2) is 40 cm.
Summary
- Area of rhombus = 480 cm²
- One diagonal (d1) = 24 cm
- Other diagonal (d2) = 40 cm
This method effectively demonstrates how you can calculate the length of the second diagonal when given the area and one diagonal of a rhombus.
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The area of rhombus is 480cm² and one it's diagonals is of length 24 cm. find the other diagonal.?
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