Question

Нахождения стороны треугольника и двух углов по данным двум сторонам и углу между ними

Answer 1

C²=a²+b²-2·a·b·cosγ;-теорема косинусов;

Answer 2

Finding the third side and two angles of a triangle given two sides and the angle between them

Let's break this problem down step-by-step: We are given two sides (a and b) of a triangle and the angle (A) between them. To find the third side (c) and the other two angles, we can use the law of cosines:

`c^2 = a^2 + b^2 - 2abcos(A)`

Where: - a and b are the two known sides - A is the known angle between them - c is the unknown third side

We can plug in the values we know and solve for c.

Once we know all three sides, we can find the other two angles (B and C) using the angle sum property of triangles:

The sum of all interior angles of a triangle is 180 degrees.

So: `A + B + C = 180`

We can set up two equations with the two unknown angles B and C and solve simultaneously.

This allows us to find the third side (c) and other two angles (B, C) of the triangle given two sides (a, b) and the angle (A) between them. Let me know if any part of the process needs more explanation.