In triangle, A is equal to 115 degree, A is equal to 65m,B is equal to 32m,solve the triangle completely

Question

In triangle, A is equal to 115 degree, A is equal to 65m,B is equal to 32m,solve the triangle completely

Answer 1

In the normal notation of naming the properties of a triangle, we use capital letters to name the vertices and small letters to name the lengths of sides.

So for yours, I read that as ...
angle A = 115°, side a = 65 m, side b = 32, where a and b are the sides
opposite angles A and B respectively.

direct application of the sine law:
sin115°/65 = sinB/32
sinB = .44618...
angle B = 26.5°

now you have 2 angles you can find C.
Once you have angle C, use the sine law again to find c.

Answer 2

I want the full solvings and solutions to the question

Answer 3

To solve the triangle completely, we need to find the remaining angles (B and C) and the remaining side (c).

Since triangle ABC is a triangle, the sum of the angles must be equal to 180 degrees. Therefore, to find angle B, we will subtract angles A and C from 180 degrees.

Angle B = 180 degrees - (Angle A + Angle C)

Angle B = 180 degrees - (115 degrees + Angle C)

Angle B = 180 degrees - 115 degrees - Angle C

Now, we are given that Angle A = 115 degrees, so substituting that value, we have:

Angle B = 180 degrees - 115 degrees - Angle C

Angle B = 65 degrees - Angle C

Next, we can use the Law of Sines to find angle C:

sin C / c = sin B / b

We are given that angle B = 65 degrees, side b = 32 m. Substituting these values, we get:

sin C / c = sin 65 / 32

To find angle C, we can rearrange the equation:

sin C = (sin 65 / 32) * c

Now, we can find angle C using the inverse sine function:

C = sin^(-1)((sin 65 / 32) * c)

Next, we can find the remaining side c using the Law of Sines:

sin A / a = sin C / c

We are given that angle A = 115 degrees and side a is not known. Substituting these values, we have:

sin 115 / a = sin C / c

Since we have already found angle C, we can substitute that value:

sin 115 / a = sin(C) / c

To find side a, we can rearrange the equation:

a = (sin 115 / sin C) * c

Now that we have all the angles and sides, we have fully solved the triangle.

Answer 4

To solve the triangle completely, we need to find all the angles and sides of the triangle.

Given:
Angle A = 115 degrees
Angle B = 65 degrees
Side B = 32m

To find angle C:
Since the sum of angles in a triangle is 180 degrees, we can find angle C by subtracting the sum of angles A and B from 180 degrees.
Angle C = 180 - (115 + 65) = 180 - 180 = 0 degrees

However, a triangle cannot have an angle of 0 degrees. Therefore, the given information is not consistent, and we cannot solve the triangle completely.

Please note that if there was any missing information or if any of the given information was incorrect, please provide the correct information to solve the triangle.