Question

40 баллов срочнооДано: Треугольник MNC MN=6NC=6Угол N=120 градусовНайти МС, уголВ, угол С

Answer 1

Ответ:

на фото

Объяснение:

на фото..............

Answer 2

Given Information:

- Triangle MNC - MN = 6 - NC = 6 - Angle N = 120 degrees

Finding MS:

To find the length of MS, we need to use the Law of Cosines. The Law of Cosines states that in a triangle with sides a, b, and c, and angle C opposite side c, the following equation holds:

c^2 = a^2 + b^2 - 2ab * cos(C)

In our case, we know that MN = 6, NC = 6, and angle N = 120 degrees. We want to find MS, which is side MC. Let's assume that MS = x.

Using the Law of Cosines, we can write the equation as:

x^2 = 6^2 + 6^2 - 2 * 6 * 6 * cos(120)

Simplifying the equation:

x^2 = 36 + 36 - 72 * cos(120)

x^2 = 72 - 72 * cos(120)

Now, we can calculate the value of x by substituting the value of cos(120) into the equation and solving for x.

Using a calculator, we find that cos(120) = -0.5.

Substituting the value of cos(120) into the equation:

x^2 = 72 - 72 * (-0.5)

x^2 = 72 + 36

x^2 = 108

Taking the square root of both sides:

x = √108

Simplifying the square root:

x = √(36 * 3)

x = 6√3

Therefore, MS = MC = 6√3.

Finding Angle B:

To find angle B, we can use the Law of Sines. The Law of Sines states that in a triangle with sides a, b, and c, and angles A, B, and C opposite their respective sides, the following equation holds:

sin(A) / a = sin(B) / b = sin(C) / c

In our case, we know that angle N = 120 degrees and side MN = 6. We want to find angle B.

Using the Law of Sines, we can write the equation as:

sin(N) / MN = sin(B) / MC

Substituting the known values:

sin(120) / 6 = sin(B) / (6√3)

Simplifying the equation:

√3 / 6 = sin(B) / (6√3)

Cross-multiplying:

√3 * (6√3) = sin(B) * 6

18 = sin(B) * 6

Dividing both sides by 6:

3 = sin(B)

To find the value of angle B, we need to find the inverse sine (sin^-1) of 3. However, since the sine function only takes values between -1 and 1, we can conclude that there is no solution for angle B in this case.

Therefore, there is no angle B in this triangle.

Finding Angle C:

To find angle C, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

We know that angle N = 120 degrees and there is no angle B. Let's assume that angle C = x.

Using the sum of angles in a triangle:

angle N + angle M + angle C = 180

120 + angle M + x = 180

angle M + x = 180 - 120

angle M + x = 60

Since we don't have any information about angle M, we cannot determine the exact value of angle C.

Therefore, the value of angle C cannot be determined with the given information.

In summary: - MS = MC = 6√3 - Angle B cannot be determined with the given information. - The value of angle C cannot be determined with the given information.