Question

Высота ВН ромба АВСD делит его сторону АD на отрезки АН=44 И НD=11 найдите площадь ромба

Answer 1

S=ah
a=11+44=55
Найдем h:
1) Рассмотрим тр. AHB 
уг. Н=90
АВ - гип. = 55 
АН - кат. = 44 
55^2-44^2=(BH)^2
3025-1936=1089
BH = 33

Следовательно 
S= ah= 55*33=1815

Answer 2

Calculating the Area of a Rhombus

To find the area of a rhombus, we can use the formula: Area = (diagonal1 * diagonal2) / 2.

Given that the height of the rhombus, AH, divides the side AD into segments AN = 44 and ND = 11, we can use this information to find the diagonals of the rhombus.

Finding the Diagonals of the Rhombus

The diagonals of a rhombus can be calculated using the following formulas: 1. Diagonal 1 (AC) = 2 * AN = 2 * 44 = 88 2. Diagonal 2 (BD) = 2 * ND = 2 * 11 = 22

Calculating the Area

Now, we can use the formula for the area of a rhombus: Area = (diagonal1 * diagonal2) / 2 Area = (88 * 22) / 2 Area = 1936 / 2 Area = 968 square units

So, the area of the rhombus is 968 square units.

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