Question

Знайдить площу паралелограма якщо його сторони 2м и 3 м, а один з кутив доривнюе 70°

Answer 1

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Answer 2

Finding the Area of a Parallelogram

To find the area of a parallelogram, you can use the formula: Area = base × height. In this case, the base of the parallelogram is given as 2 meters, and the height is not directly provided. However, we can find the height by using the given information that one of the angles in the parallelogram measures 70 degrees.

To find the height, we can use trigonometry. The height of the parallelogram is the perpendicular distance between the base and the opposite side. Since one of the angles is given, we can use the trigonometric function tangent (tan) to find the height.

Let's calculate the height using the given information:

1. Identify the angle: The given angle is 70 degrees. 2. Use the tangent function: The tangent of an angle is equal to the ratio of the opposite side to the adjacent side. In this case, the opposite side is the height, and the adjacent side is the base. 3. Calculate the height: We can use the formula height = base × tan(angle) to find the height.

Substituting the values, we have: height = 2 × tan(70°)

Now, let's calculate the height using this formula:

height = 2 × tan(70°) = 2 × 2.74747741945462 = 5.49495483890924 meters

Now that we have the height, we can calculate the area of the parallelogram using the formula Area = base × height:

Area = 2 × 5.49495483890924 = 10.98990967781848 square meters

Therefore, the area of the parallelogram is approximately 10.99 square meters.

Please note that the calculations provided are based on the given information and assumptions made.