Question

ЗНАЙДІТЬ КУТИ РІВНОБЕДРЕНОГО ТРИКУТНИКА, ЯКЩО КУТ ПРИ ОСНОВІ НА 30 ГРАДУСІВ БІЛЬШИЙ ВІД КУТА ПРИ ВЕРШИНІ. ДАМ 20 БАЛЛОВ!!!​

Answer 1

Ответ:

відповідь подана на фотографії

Answer 2

Finding the Isosceles Triangle

To find the isosceles triangle with the specified angle measurements, we can use the properties of isosceles triangles. In an isosceles triangle, the two base angles (the angles opposite the equal sides) are congruent. Given that the angle at the base is 30 degrees and is greater than the angle at the vertex, we can determine the angles of the isosceles triangle.

Calculating the Angles

Let's denote the angle at the base as A, the angle at the vertex as B, and the remaining angle as C. Since the angle at the base is 30 degrees and is greater than the angle at the vertex, we have:

- A = 30 degrees - B < 30 degrees

In an isosceles triangle, the base angles are equal. Therefore, we can calculate the angles as follows:

- A = C (base angles are equal) - A + B + C = 180 degrees (sum of angles in a triangle)

Substituting the values, we get:

- 30 + 30 + C = 180 - 60 + C = 180 - C = 180 - 60 - C = 120 degrees

So, the angles of the isosceles triangle are: - A = 30 degrees - B = C = 120 degrees

Conclusion

Therefore, the isosceles triangle with the specified angle measurements has angles of 30 degrees, 120 degrees, and 120 degrees.