The diagonal of the parallelogram divides it into two triangles, the area of one of which is 14 cm2.
| May 3, 2021 | education
The diagonal of the parallelogram divides it into two triangles, the area of one of which is 14 cm2. What is the area of a parallelogram?
Since the opposite angles in the parallelogram are equal, and the opposite sides are parallel and equal, therefore, any diagonal of the parallelogram splits it into two equal triangles.
Therefore, the area of the parallelogram is equal to twice the area of one of the triangles.
That is, S = 2 * Str = 2 * 14 = 28 cm ^ 2.
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