Question

Существует ли треугольник со сторонами 9см, 11см, 20см? Помогите пожалуйста .

Answer 1

Не существует, так как сумма любых двух сторон треугольника должна быть больше третьей,а 11+9=20, 20=20.

Answer 2

Checking if a triangle exists

To check if a triangle exists with sides of lengths 9cm, 11cm, and 20cm, we use the triangle inequality property. The triangle inequality states that the sum of any two sides of a triangle must be greater than the third side.

Applying the triangle inequality to this problem:

- 9cm + 11cm = 20cm - 9cm + 20cm > 11cm - 11cm + 20cm > 9cm

All three conditions are satisfied. Therefore, a triangle can exist with sides of lengths 9cm, 11cm, and 20cm.

So in summary, yes a triangle does exist with the given side lengths. The triangle inequality property is used to verify this by checking if the sum of any two sides is greater than the third side.