Question

одна из диагоналей паллеограмма является его высотой и равна 9 см.найти стороны этого параллеограмма .если его площадь равна 108 см квадрате

Answer 1

$S=a\cdot h_a\\a=\frac{S}{h_a}\\a=\frac{108}{9}=12\\c^2=a^2+b^2\\c=\sqrt{a^2+b^2}\\c=\sqrt{12^2+9^2}=\sqrt{144+81}=\sqrt{225}=15$

 

Ответ: 12 см; 15 см.

Answer 2

1. основание будет 108 = осн*9 осн= 12 
2. другая сторона по теореме многострадального пифагора = V (9ˇ2 +12ˇ2) = 15

Answer 3

Finding the Sides of a Parallelogram

To find the sides of a parallelogram when one of its diagonals is also its height, we can use the formula for the area of a parallelogram. The formula for the area of a parallelogram is given by:

Area = base × height

In this case, we are given that one of the diagonals is also the height, and its length is 9 cm. We are also given that the area of the parallelogram is 108 cm².

Let's denote the base of the parallelogram as 'b' and the height (which is also one of the diagonals) as 'h'. We can set up the equation as follows:

108 = b × 9

To find the value of 'b', we can rearrange the equation:

b = 108 / 9

Simplifying the equation, we get:

b = 12

Therefore, the base of the parallelogram is 12 cm.

Since a parallelogram has opposite sides that are equal in length, the other side of the parallelogram is also 12 cm.

In summary, the sides of the parallelogram are both 12 cm.