Question

Острый угол прямоугольной трапеции с основанием 6см и 8см =45 градусов.Найдите высоту трапеции

Answer 1

Угол с нашли по сумме углов трапеции
угол hcd по по сумме углов треугольника
ch нашли по свойствам квадрата

Answer 2

Finding the Height of the Trapezoid

To find the height of the trapezoid, we can use the formula for the area of a trapezoid, which is given by the formula:

Area = (1/2) * (sum of the lengths of the parallel sides) * (height)

Given that the acute angle of the trapezoid is 45 degrees, and the lengths of the parallel sides are 6 cm and 8 cm, we can calculate the height using the formula.

Calculation

Using the given information, we can calculate the height of the trapezoid as follows:

1. First, we need to find the difference between the lengths of the parallel sides: - The difference between the lengths of the parallel sides = (8 - 6) / 2 = 1 cm

2. Next, we can calculate the area of the trapezoid using the formula: - Area = (1/2) * (sum of the lengths of the parallel sides) * (height) - Area = (8 + 6) / 2 * 1 = 7 cm²

3. Finally, we can solve for the height: - 7 = (1/2) * (6 + 8) * (height) - 7 = 7 * (height) - height = 1 cm

Answer

The height of the trapezoid is 1 cm.