Question

Найдите периметр прямоугольника вписанного в равнобедренный треугольник гипотенуза треугольника равна 12 см ПОМОГИТЕ!!!!!

Answer 1

Начерти чертешь напиши дано обзначь гипотенузу в дано и напеши решение поставь : и решай формулы
перемитра=2×(а+в)
а-длина 1-ой стороны прямоугольника
в-длина 2-ой стороны прямоугольника
а равнобедреного треугол в интернете задай

Answer 2

Perimeter of a Rectangle Inscribed in an Isosceles Triangle

To find the perimeter of a rectangle inscribed in an isosceles triangle, we need to consider the properties of the triangle and the rectangle.

Let's break down the problem step by step:

1. We are given that the hypotenuse of the triangle is 12 cm. 2. The triangle is isosceles, which means it has two equal sides. 3. The rectangle is inscribed in the triangle, which means its sides are parallel to the sides of the triangle.

To find the perimeter of the rectangle, we need to determine the lengths of its sides.

Finding the Lengths of the Rectangle's Sides

To find the lengths of the rectangle's sides, we can use the properties of the isosceles triangle.

1. The hypotenuse of the triangle is 12 cm. 2. The triangle is isosceles, so the two equal sides are also 12 cm each. 3. The base of the triangle can be found using the Pythagorean theorem: `base = sqrt(hypotenuse^2 - height^2)`.

Let's calculate the base of the triangle:

- Hypotenuse = 12 cm - Height = (12 cm) / 2 = 6 cm (since the triangle is isosceles, the height bisects the base)

Using the Pythagorean theorem: `base = sqrt(12^2 - 6^2) = sqrt(144 - 36) = sqrt(108) = 6sqrt(3) cm`.

Now we have the base of the triangle, which is equal to the length of the rectangle.

Calculating the Perimeter of the Rectangle

To calculate the perimeter of the rectangle, we need to know the lengths of its sides.

- Length of the rectangle = base of the triangle = 6sqrt(3) cm - Width of the rectangle = height of the triangle = 6 cm

The perimeter of a rectangle is given by the formula: `perimeter = 2 * (length + width)`.

Substituting the values:

- Perimeter = 2 * (6sqrt(3) cm + 6 cm) = 2 * (6sqrt(3) cm + 6 cm) = 2 * (6sqrt(3) + 6) cm = 12sqrt(3) cm + 12 cm.

Therefore, the perimeter of the rectangle inscribed in the isosceles triangle is 12sqrt(3) cm + 12 cm.

I hope this helps! Let me know if you have any further questions.