Question

Якщо кут при вершині на 108 ° більший, ніж кут при основі, то в рівнобедреному трикутнику кут при основі дорівнює ​

Answer 1

Ответ:

Нехай 2 кути при основі = 2х, тоді:

108+2х=180°

2х=180-108

2х=72

х=36

Кут при основі дорівнює 36°

Answer 2

Finding the Angle at the Base of an Isosceles Triangle

If the angle at the vertex of an isosceles triangle is 108° and is greater than the angle at the base, we can calculate the angle at the base using the properties of isosceles triangles.

Step 1: Finding the Angle at the Base To find the angle at the base of the isosceles triangle, we can use the property that in an isosceles triangle, the base angles are equal. Therefore, if the angle at the vertex is 108° and is greater than the angle at the base, we can calculate the angle at the base by subtracting the difference from 180° and dividing by 2.

Using the given information: Angle at the vertex = 108° Let's calculate the angle at the base: Angle at the base = (180° - 108°) / 2 Angle at the base = 36°

Conclusion

In a triangle where the angle at the vertex is 108° and is greater than the angle at the base, the angle at the base of the isosceles triangle is 36°.