Question

Основи прямокутної трапеції дорівнюють 5см,17см,більша бічна сторона 13 см. Знайти висоту трапеції.

Answer 1

Я думаю що все зрозуміло???????

Answer 2

Finding the Height of a Trapezoid

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

Height = (Area of trapezoid) / (1/2 * (sum of parallel sides))

Given: - Length of the smaller base (a): 5 cm - Length of the larger base (b): 17 cm - Length of the non-parallel side (c): 13 cm

First, we need to find the area of the trapezoid using the formula:

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

Then, we can rearrange the formula to solve for the height:

Height = (Area) / (1/2 * (sum of parallel sides))

Let's calculate the height using the given values.

Calculating the Area of the Trapezoid

The area of a trapezoid is given by the formula:

Area = 1/2 * (a + b) * h

Where: - a = length of the smaller base - b = length of the larger base - h = height

Given: - a = 5 cm - b = 17 cm - c = 13 cm

We can calculate the area using the given values:

Area = 1/2 * (5 + 17) * h

Area = 1/2 * 22 * h

Area = 11h

Calculating the Height

Now, we can rearrange the formula to solve for the height:

Height = (Area) / (1/2 * (a + b))

Substitute the value of the area into the formula:

Height = (11h) / (1/2 * (5 + 17))

Height = (11h) / (1/2 * 22)

Height = (11h) / 11

Height = h

So, the height of the trapezoid is equal to the height variable, which we can solve for using the given information.

Let's calculate the height using the given values.

Conclusion

By using the formula for the area of a trapezoid and rearranging it to solve for the height, we can find the height of the trapezoid with the given dimensions.