Question

В нравнобокой трапецииоснования равны 7 и 15 А боковая сторона равна 5см найдите ее высоту и среднюю линию

Answer 1

Средняя линия равна 11
а высота равна 3

Answer 2

Task: Find the height and median of a trapezoid with bases of 7 cm and 15 cm and a side length of 5 cm.

To find the height and median of a trapezoid, we can use the formula:

Height (h) = √(s^2 - ((a-b)^2 / 4))

where: - s is the side length - a and b are the lengths of the bases

In this case, the lengths of the bases are 7 cm and 15 cm, and the side length is 5 cm.

Let's calculate the height and median using the formula:

Height (h) = √(5^2 - ((7-15)^2 / 4))

Calculating the values:

Height (h) = √(25 - ((-8)^2 / 4))

Height (h) = √(25 - (64 / 4))

Height (h) = √(25 - 16)

Height (h) = √9

Height (h) = 3 cm

Now, let's calculate the median using the formula:

Median (m) = (a + b) / 2

where: - a and b are the lengths of the bases

In this case, the lengths of the bases are 7 cm and 15 cm.

Median (m) = (7 + 15) / 2

Median (m) = 22 / 2

Median (m) = 11 cm

Therefore, the height of the trapezoid is 3 cm and the median is 11 cm.

Please let me know if there's anything else I can help you with!