Question

Основания трапеции равны 15 сантиметров и 20 сантиметров а ее площадь равна 420 сантиметров квадратных Найдите высоту трапеции

Answer 1

S=(a+b)*h/2⇒ h=S/((a+b)/2) =2S/(a+b)/  Вычисляем h=2*420/(20+15)==24. Это и есть высота трапеции.

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: - The bases of the trapezoid are 15 centimeters and 20 centimeters. - The area of the trapezoid is 420 square centimeters.

We can use this information to find the height of the trapezoid.

Calculation

Using the formula for the area of a trapezoid, we can solve for the height:

420 = (1/2) * (15 + 20) * (height)

Solving for the height:

420 = (1/2) * 35 * (height)

840 = 35 * (height)

height = 840 / 35

height = 24

Answer

The height of the trapezoid is 24 centimeters.