Question

Дана геометрична фігура - ромб. Відомо, що точкою перетину діагоналі було поділено на відрізки довжиною 12 і 15 см. Знайти площу ромба

Answer 1

Ответ:

360 см²

Объяснение:

решение на фото........

Answer 2

Finding the Area of a Rhombus

To find the area of a rhombus, we can use the formula: Area = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals.

In this case, we are given that the diagonals of the rhombus have been divided into segments measuring 12 cm and 15 cm. Let's assume that the lengths of the diagonals are x and y.

According to the given information, we can set up the following equations:

1. The sum of the segments on one diagonal is equal to the length of that diagonal: - x = 12 + 15

2. The sum of the segments on the other diagonal is equal to the length of that diagonal: - y = 12 + 15

Simplifying these equations, we get: - x = 27 - y = 27

Now, we can substitute the values of the diagonals into the area formula:

Area = (x * y) / 2

Substituting the values, we get: Area = (27 * 27) / 2

Calculating this expression, we find that the area of the rhombus is 364.5 square centimeters.

Please note that the above calculations assume that the diagonals of the rhombus are perpendicular to each other. If this assumption is not valid, the given information may not be sufficient to determine the exact area of the rhombus.