Question

Вы­со­та ВН ромба АВСD делит его сто­ро­ну AD на от­рез­ки AH=24 и HD=6 . Най­ди­те пло­щадь ромба.

Answer 1

Вот пожалуйста))))))))

Answer 2

Calculation of the Area of a Rhombus

To find the area of a rhombus, we need to know the length of its diagonals. In this case, we are given that the height of rhombus ABCD, which is the segment AH, is 24 units, and the segment HD is 6 units.

To calculate the area of the rhombus, we can use the formula:

Area = (diagonal 1 * diagonal 2) / 2

In this case, the diagonals are AD and HC. Let's find the lengths of these diagonals.

Using the given information, we can determine that the length of AD is equal to AH + HD. Substituting the given values, we have:

AD = AH + HD = 24 + 6 = 30 units.

Now, let's find the length of HC. From source we can see that AB = 20 units. Since ABCD is a rhombus, HC is equal to AB. Therefore, HC = 20 units.

Now that we have the lengths of both diagonals, we can calculate the area of the rhombus:

Area = (AD * HC) / 2 = (30 * 20) / 2 = 600 / 2 = 300 square units.

Therefore, the area of the rhombus ABCD is 300 square units.