The sides of the parallelogram are 4 cm and 5 cm, the angle between them is 45 °. Find the heights of the parallelogram.
| February 2, 2021 | education
The AВН triangle is rectangular, in which the angle A = 45, then the height BН = AB * Sin45 = 4 * √2 / 2 = 2 * √2 cm.
Similarly, in the ADK triangle, DC = AD * Sin45 = 5 * √2 / 2 = 2.5 * √2 cm.
Answer: The heights of the parallelogram are 2 * √2 cm and 2.5 * √2 cm.
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