Question

Помогите решить задачу по геометрии: Сторона AB-160 градусов сторона Bc-120 градусов найдите сторону AC. Рисунок треугольник в писаный в круг. Заранее спасибо

Answer 1

1) 160+120=280
2) 360-280=80(см) сторона АС

Answer 2

Problem Statement

You need to find the length of side AC in a triangle where side AB measures 160 degrees and side BC measures 120 degrees. The triangle is inscribed in a circle.

Solution

To solve this problem, we can use the property of an inscribed angle in a circle. According to this property, an inscribed angle is equal to half the measure of its intercepted arc.

In this case, we have two angles, AB and BC, and we need to find the length of side AC. Since the triangle is inscribed in a circle, the intercepted arcs for angles AB and BC will be the same.

Let's assume that the intercepted arc for both angles AB and BC is x degrees. Since the sum of the angles in a triangle is 180 degrees, we can write the following equation:

AB + BC + AC = 180

Substituting the given values, we get:

160 + 120 + AC = 180

Simplifying the equation, we find:

AC = 180 - 160 - 120

AC = 60 degrees

Therefore, the length of side AC is 60 degrees.

Please note that the given problem statement does not provide any information about the lengths of sides AB and BC. If you have additional information about the lengths of these sides, please provide it so that we can calculate the length of side AC accurately.

I hope this helps! Let me know if you have any further questions.