The primeter of a rhombus is 52 cm and the length of its similar diagonal is 10 cm . The is the length of longer diagonal ?
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Answer:it is 24 cm.
Step-by-step explanation:
Given that perimeter of the rhombus = 52cm.
We know that perimeter of the rhombus = 4a
4a = 52
a = 52/4
= 13.
Therefore Each side of the rhombus = 13cm.
Length of the one diagonal = 10cm.
Then the length of the other diagonal will be:
= 2 * \sqrt{13^2 - ( \frac{10}{2})^2 }
= 2 * \sqrt{169 - 5^2}
= 2 * \sqrt{169 - 25}
= = 2 * \sqrt{144}
= 2 * 12
= 24cm.
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