The sides of the parallelogram are 30mm and 35mm, one diagonal is 55mm. Find another diagonal.
| June 9, 2021 | education
The sum of the squares of the lengths of the diagonals of a parallelogram is equal to twice the sum of the squares of the lengths of its sides.
AC ^ 2 + BD ^ 2 = 2 * (AB ^ 2 + AD ^ 2).
AC ^ 2 = 2 * (AB ^ 2 + AD ^ 2) – BD ^ 2 = 2 * (900 + 1225) – 3025 = 4250 – 3025 = 1225.
AC = 35 cm.
Answer: The length of the second diagonal is 35 cm.
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