To calculate: The lengths of the diagonals of rhombus.
Answer to Problem 40STP
Lengths of the diagonals are 6 mm and 18 mm.
Explanation of Solution
Given information: One diagonal of a rhombus is three times as long as the other diagonal.
Area of rhombus is 54 square millimeters.
Formula used: Area of rhombus using diagonals is given by
where,
Calculation: Since one diagonal of rhombus is three times the other diagonal.
So, Let one diagonal of rhombus be x mm , then other diagonal will be 3 x mm.
Here,
Thus, lengths of the diagonals are 6 mm and 18 mm.
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