Question

в ПАРАЛЛЕЛОГРАММЕ ABCD угол A равен 45 градусов,высота BE равна 6 см.Найти CD.

Answer 1

так как угол А равен 45 градусов, то угол АВЕ равн 90-45=45 градусов, значит тругольник АВЕ равнобедренный по признаку равнобедренного треугольника и ВЕ = АЕ, АВ находим по теореме Пифагора, то есть АВ=корень квадратный из (ВЕ^2+AE^2) = 6 корней из двух, ну и АВ равно CD  по свйоству пар-мма..значит CD рано 6 корней из 2

Answer 2

Finding the Length of CD in Parallelogram ABCD

In a parallelogram, opposite angles are equal. Given that angle A is 45 degrees, we can use trigonometric ratios to find the length of CD.

Using the given information, we can use the trigonometric ratio of tangent to find the length of CD. The tangent of an angle in a right-angled triangle is the ratio of the length of the opposite side to the length of the adjacent side.

We can use the following formula to find the length of CD: tan(A) = Opposite / Adjacent

Given that angle A is 45 degrees and the height BE is 6 cm, we can use the tangent of 45 degrees to find the length of CD.

Using the tangent of 45 degrees, which is 1, we can calculate the length of CD: CD = BE / tan(A)

Substituting the given values: CD = 6 / tan(45)

Let's calculate the value of CD using the given formula.

Calculation

Using the value of the tangent of 45 degrees from the search results: tan(45) = 1

Substituting the value into the formula: CD = 6 / 1 = 6 cm

Conclusion

The length of CD in parallelogram ABCD is 6 cm.