Question

В трапеции АВСD АВ=СD, АС=5см, СH=3см. Найти площадь трапеции.

Answer 1

Sтрап.=bc+ah\2 * h  =>

Нашли HD по формуле Пифагора=4   =>

AD=3HD=12  =>

BC=8

S=8+12*3\2

S=30

 

 

 

 

 

 

 

 

Answer 2

Problem Analysis

We are given a trapezoid ABCD, where AB = CD, AC = 5 cm, and CH = 3 cm. We need to find the area of the trapezoid.

Solution

To find the area of the trapezoid, we can use the formula:

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

In this case, the parallel sides are AB and CD, and the height is CH.

Substituting the given values into the formula, we have:

Area = (AB + CD) * CH / 2

Since AB = CD, we can simplify the formula to:

Area = (2 * AB) * CH / 2

Simplifying further, we get:

Area = AB * CH

Now, let's substitute the given values into the formula to find the area.

Calculation

Given: AB = CD AC = 5 cm CH = 3 cm

We need to find the area of the trapezoid.

Using the formula: Area = AB * CH

Substituting the given values: Area = AB * CH Area = AB * 3 cm

Since AB = CD, we can substitute AB with CD: Area = CD * 3 cm

Therefore, the area of the trapezoid is 3 times the length of CD.

Answer

The area of the trapezoid is 3 times the length of CD.

Note: The specific value of the area cannot be determined without knowing the length of CD.