The sides of the parallelogram are 5 cm and 13 cm and the smaller diagonal is perpendicular to the
| July 5, 2021 | education
The sides of the parallelogram are 5 cm and 13 cm and the smaller diagonal is perpendicular to the smaller side. Calculate the area of the parallelogram.
In a right-angled triangle ABC Cos41 = AD / AB.
AD = AB * Cos410 = 12 * Cos410.
Let us determine the area of the parallelogram ABCDD.
Savsd = AB * AD * Sin41 = 12 * 12 * Cos41 * Sin41 = 144 * Sin82 / 2 = 72 * Sin82 cm2.
Answer: The area of the parallelogram is 72 * Sin820 cm2.
In a right-angled triangle ABD, according to the Pythagorean theorem, BD ^ 2 = AB ^ 2 – AD ^ 2 = 169 – 25 = 144.
ВD = 12 cm.
Determine the area of the parallelogram.
Savsd = AD * BD = 5 * 12 = 60 cm2.
Answer: The area of the parallelogram is 60 cm2.
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