Parallelogram diagonals = 17 and 19 cm, one side 10 cm. Find the other side.
| September 29, 2021 | education
The sum of the squares of the diagonals of a parallelogram is equal to twice the sum of the squares of its two adjacent sides:
17 * 2 + 19 * 2 = 2 (10 * 2 + X * 2);
289 + 361 = 200 + 2x * 2;
2x * 2 = 450;
x * 2 = 225;
x = 15.
Answer: 15 cm.
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