Question

Паралелограмм MNKP , диагональ PN , сторона MN 10 сантиметров , сторона PN 2 сантиметра , угол MNK равен 160 градусам Найти стороны MP и Pk

Answer 1

Pk=2, по свойству параллелограмма(противоположные стороны равны и попарно параллельны).
Больше сказать ничего не могу, т.к. никак не пойму: как у тебя PN одновременно и диагональ и сторона? Проверь может ты что-нибудь напутал.

Answer 2

Parallelogram MNKP

To find the lengths of sides MP and PK in parallelogram MNKP, we can use the given information about the diagonal PN, side MN, and angle MNK.

Let's start by visualizing the parallelogram MNKP:

     M______N
    /       /
   /       /
P/_______K

Given information: - Side MN = 10 centimeters - Side PN = 2 centimeters - Angle MNK = 160 degrees

To find the lengths of sides MP and PK, we can use the properties of a parallelogram.

Properties of a Parallelogram

In a parallelogram, opposite sides are equal in length. This means that side MN is equal to side KP, and side PN is equal to side MK.

Using this property, we can determine the lengths of sides MP and PK.

Determining the Length of Side MP

Since side MN is equal to side KP, we know that MP + PN = MN.

Given that PN = 2 centimeters and MN = 10 centimeters, we can substitute these values into the equation:

MP + 2 = 10

Solving for MP:

MP = 10 - 2

MP = 8 centimeters.

Determining the Length of Side PK

Since side PN is equal to side MK, we know that PK + MN = PN.

Given that PN = 2 centimeters and MN = 10 centimeters, we can substitute these values into the equation:

PK + 10 = 2

Solving for PK:

PK = 2 - 10

PK = -8 centimeters.

However, it is not possible for a side length to be negative in a physical context. Therefore, the length of side PK cannot be -8 centimeters. It is likely that there is an error in the given information or calculations.

Please double-check the information provided or provide additional information if available, so we can assist you further.