Question

Срочно нада пж . Бісектриса гострого кута паралелограма ділить його протилежну сторону на відрізки довжиною 19 см і 9 см, починаючи з вершини тупого кута. Знайти периметр паралелограма.

Answer 1

Ответ:

VK = KL = 19 см, бісектриса завжди відтинає рівнобедрений трикутник

VM = 19+9 = 28 (см)

Р = 2(VM + AK)

P = 2(28 + 19) = 94 (см)

В: 94 см

Answer 2

Bisector of an acute angle in a parallelogram

In order to find the perimeter of the parallelogram, we need to determine the lengths of the other two sides. To do this, we can use the properties of a parallelogram.

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. It also has opposite angles that are equal. In this case, we are given that the bisector of the acute angle divides the opposite side into segments of length 19 cm and 9 cm.

Let's denote the length of the shorter side of the parallelogram as a and the length of the longer side as b. We can use the properties of a parallelogram to find the values of a and b.

Since the bisector of the acute angle divides the opposite side into segments of length 19 cm and 9 cm, we can conclude that the length of the shorter side (a) is equal to 9 cm, and the length of the longer side (b) is equal to 19 cm.

Now, let's find the perimeter of the parallelogram. The perimeter of any polygon is the sum of the lengths of all its sides.

The perimeter of the parallelogram can be calculated using the formula:

Perimeter = 2a + 2b

Substituting the values of a and b into the formula, we get:

Perimeter = 2(9 cm) + 2(19 cm) = 18 cm + 38 cm = 56 cm

Therefore, the perimeter of the parallelogram is 56 cm.

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