Question

Осования равнобокой трапеции равны9 см и 17см,а боковая сторона относится к высоте как 5:3.Найдите периметр и площадь трапеции

Answer 1

Ответ на данный вопрос во вложении:

Answer 2

Given Information

We are given the following information about a trapezoid: - The lengths of the bases are 9 cm and 17 cm. - The ratio of the side to the height is 5:3.

Finding the Perimeter

To find the perimeter of the trapezoid, we need to add up the lengths of all its sides.

The trapezoid has four sides: two bases and two non-parallel sides. Let's label the bases as a and b, and the non-parallel sides as c and d.

The lengths of the bases are given as 9 cm and 17 cm, so a = 9 cm and b = 17 cm.

To find the lengths of the non-parallel sides, we can use the given ratio of the side to the height. Let's assume the height of the trapezoid is h.

According to the given ratio, the side c is related to the height h as 5:3. So we can write:

c/h = 5/3

Similarly, the side d is also related to the height h as 5:3. So we can write:

d/h = 5/3

To find the lengths of c and d, we need to solve these two equations simultaneously. We can do this by cross-multiplying:

c = (5/3)h

d = (5/3)h

Now we have expressions for all four sides of the trapezoid in terms of h. The perimeter of the trapezoid