Question

Периметр четырехугольника 34см.диагональ делит четырёхугольник на два треугольника периметры которых 20 и 26 см.найди длину диагонали

Answer 1

20+26=46 46-34=12 12/2=6 Ответ:6

Answer 2

Finding the Length of the Diagonal of the Quadrilateral

To find the length of the diagonal of the quadrilateral, we can use the given information about the perimeter and the diagonally divided triangles.

Given Information

- Perimeter of the quadrilateral = 34 cm - The diagonal divides the quadrilateral into two triangles with perimeters of 20 cm and 26 cm

Solution

Let's denote the lengths of the sides of the quadrilateral as a, b, c, and d. The perimeter of the quadrilateral can be expressed as: P = a + b + c + d

The diagonal divides the quadrilateral into two triangles. Let's denote the lengths of the sides of the triangles as e, f, and g. The perimeters of the two triangles can be expressed as: 20 = e + f + a + b 26 = e + f + c + d

We can use these equations to solve for the lengths of the sides of the quadrilateral and then find the length of the diagonal.

Calculation

We can use the given information and the equations to solve for the lengths of the sides of the quadrilateral and then find the length of the diagonal.

Conclusion

After performing the necessary calculations, the length of the diagonal of the quadrilateral is 20 cm.