Question

Сумма диоганали ромба равна 70 см, а сторона 25 см найдите высоту ромба

Answer 1

Пусть одна диагональ=х, тогда:
сумма квадратов диагоналей равна сумме квадратов всех сторон, т. е.
x^2+(70-x)^2=4*625=2500
x^2+4900-140x+x^2-2500=0
x^2-70x+1200=0
Диагонали= 40см и 30см.
Площадь=(1/2)*30*40=600
Высота=600/25=24см.

Answer 2

Calculating the Height of a Rhombus

To find the height of a rhombus, we can use the formula:

Height = (2 * Area) / (Diagonal

Given: - Sum of the diagonals of the rhombus = 70 cm - Side of the rhombus = 25 cm

Calculating the Area of the Rhombus

First, let's calculate the area of the rhombus using the formula:

Area = (1/2) * (Product of the diagonals)

The product of the diagonals can be found by solving the equation: d1 * d2 = 2 * Area

Using the given sum of the diagonals and the side length, we can calculate the individual diagonals using the following steps:

1. Calculate the individual diagonals: - Let's assume the diagonals are d1 and d2. - We know that d1 + d2 = 70 cm. - We also know that the diagonals bisect each other at right angles, forming four right-angled triangles. - Using the Pythagorean theorem, we can calculate the length of half of each diagonal.

2. Calculate the area of the rhombus: - Once we have the individual diagonals, we can calculate the area using the formula mentioned above.

3. Calculate the height of the rhombus: - Finally, we can use the calculated area and the sum of the diagonals to find the height of the rhombus.

Let's proceed with the calculations.