Question

Найдите площадь равнобедренного треугольника с углом при основании 22.5° градусов и боковой стороной, равной 6 см. Полученный ответ поделите на .

Answer 1

Ответ:18

Объяснение:

S=1/2*две стороны и угол между ними

т.к углы при основании равны, находим оставшийся

180-(22,5+22,5)=135

синус 135= √2/2

следовательно:1\2*6√2*6√2*√2/2=18√2

делим на √2=18

Answer 2

Calculation of the Isosceles Triangle's Area

To find the area of an isosceles triangle, we need to know the length of the base and the height. In this case, we are given the angle at the base and the length of one of the equal sides.

Let's denote the base of the triangle as b and the height as h. The angle at the base is given as 22.5°, and one of the equal sides is 6 cm.

To find the height, we can use trigonometry. The height of the triangle can be calculated using the formula:

h = b * tan(angle)

Substituting the given values, we have:

h = 6 cm * tan(22.5°)

Now, let's calculate the height using this formula.

Using a calculator, we find that tan(22.5°) ≈ 0.4142.

Substituting this value into the formula, we get:

h ≈ 6 cm * 0.4142 ≈ 2.4852 cm

Now that we have the height, we can calculate