Question

Кут між висотами паралелограма проведенемиз вершини тупого кута дорівнює 60градусів знайти площу паралелограма якщо його сторони дорівнюють 8 см і 14см

Answer 1

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Answer 2

Finding the Angle between the Heights of a Parallelogram

To find the angle between the heights of a parallelogram, we need to know the measure of the acute angle formed by the heights at one of the vertices. In this case, the given angle is 60 degrees.

Calculating the Area of the Parallelogram

To calculate the area of a parallelogram, we can use the formula: Area = base * height. In this case, the base of the parallelogram is given as 8 cm, and the height is the length of the height corresponding to the given angle.

Determining the Length of the Height

To find the length of the height corresponding to the given angle, we can use trigonometric functions. Since the angle is 60 degrees and the sides of the parallelogram are given as 8 cm and 14 cm, we can use the sine function to find the length of the height.

The sine function is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, the side opposite the angle is the length of the height, and the