Question
Download Solution PDFIf the diagonals of a rhombus are 10 cm and 24 cm, then what is the perimeter of the rhombus?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Length of diagonal 1 = 10 cm
Length of diagonal 2 = 24 cm
Formula:
Perimeter of a rhombus = 4 × Length of side
Solution
Length of side = √((diagonal 1 / 2)2 + (diagonal 2/2)2)
√((10 cm / 2)2 + (24 cm/2)2)
√(25 cm + 144)
√(169 cm)
13 cm
Now, let's calculate the perimeter of the rhombus:
Perimeter of rhombus = 4 × Length of side
4 × 13 cm
52 cm
Therefore, the perimeter of the rhombus is 52 cm.
Last updated on May 28, 2025
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