Question

В треугольнике авс угол а тупой сравните стороны ас и вс решение​

Answer 1

Ответ:

ВС > AC

Пошаговое объяснение:

Т.к. сумма углов треугольника 180°, а угол А-тупой (т.е. >90°), то угол В может быть только острый.

∠А > ∠В

Сторона ВС лежит напротив угла А, сторона АС - напротив угла В.

Против большего угла в треугольнике лежит большая сторона. Поэтому:

ВС > AC

Answer 2

Comparing the Sides of a Triangle with a Obtuse Angle

In a triangle with an obtuse angle, the side opposite the obtuse angle will be the longest side. This is a fundamental property of triangles. Let's denote the sides of the triangle as follows: - a: the side opposite the obtuse angle - b: one of the other sides - c: the remaining side

Given that the angle at vertex A is obtuse, we can compare the sides AS and VS.

The side opposite the obtuse angle (a) will be longer than the other two sides (b and c). This can be explained using the properties of trigonometric functions and the law of sines.

The law of sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. In an obtuse-angled triangle, the longest side is opposite the obtuse angle.

Therefore, in the triangle with an obtuse angle at vertex A, the side AS will be longer than the side VS.

Conclusion: The side AS will be longer than the side VS in a triangle with an obtuse angle at vertex A.