Question

Периметр ромба 6,8 см, а одна из диагоналей 1,6 см. Найти площадь ромба.

Answer 1

Диагонали ромба делят его на 4 равных прямоугольных тр-ка;
рассм. один; его гипотенуза - сторона ромба, равна1/4 периметра=6,8/4
=1,7 см; катет - половина диагонали - 1,6/2=0,8 см;
по т.Пифагора 1,7^2=0,8^2+x^2, где х - второй катет; х^2=2,89-0,64=2,25,
x=1,5 cм; 
площадь тр-ка=1/2*1,5*0,8 см^2; площадь ромба=4*1/2*1,5*0,8=2,4 см^2.

Answer 2

Perimeter of a Rhombus

To find the perimeter of a rhombus, we need to know the length of one side. However, in this case, we are given the perimeter of the rhombus, which is 6.8 cm.

The perimeter of a rhombus is equal to the sum of the lengths of all four sides. Since a rhombus has four equal sides, we can divide the perimeter by 4 to find the length of one side.

Let's calculate the length of one side of the rhombus: ``` Perimeter = 4 * Side Length 6.8 cm = 4 * Side Length Side Length = 6.8 cm / 4 Side Length = 1.7 cm ``` Therefore, the length of one side of the rhombus is 1.7 cm.

Area of a Rhombus

To find the area of a rhombus, we need to know the lengths of its diagonals. In this case, we are given the length of one diagonal, which is 1.6 cm.

The formula to calculate the area of a rhombus is: ``` Area = (Diagonal 1 * Diagonal 2) / 2 ``` Since a rhombus has two diagonals that are perpendicular bisectors of each other, we can use the given diagonal length and the formula to find the area.

Let's calculate the area of the rhombus: ``` Area = (1.6 cm * Diagonal 2) / 2 ``` Unfortunately, we don't have the length of the second diagonal, so we cannot calculate the exact area of the rhombus with the given information.

If you have the length of the second diagonal, please provide it, and I will be happy to help you calculate the area of the rhombus.