find the area of a rhombus whose side is 5cm and whose altitude is 4 . 8 cm . if one of its diagonals is 8cm long, find the length of the other diagonal.
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find the area of a rhombus whose side is 5cm and whose altitude is 4 . 8 cm . if one of its diagonals is 8cm long, find the length of the other diagonal.
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Step-by-step explanation:
length of the one diagonal d1 = 8 cm
length of the other diagonal d2 = altitude= 4.5 cm
area of the rhombus = ½*d1 * d2
= ½* 8*4.5
= 4*4.5
= 18.0 18 cm²
Since,a rhombus is also a kind of a parallelogram.
Formula of area of rhombus =Base×Altitude
Putting values, we have
Area of rhombus =5×4.8=24
Since, Area of rhombus is 24 cm².
Also,formula for area of rhombus =
Given,Length of one diagonal ==8
Let length of other diagonal =
After substituting the values, we get
Hence, length of other diagonal is 6 cm.