Question

Построй прямоугольный треугольник и вычисли его периметр. Затем построить четырёхугольник с таким же периметром. Измерь и сравни площади треугольника и четырёхугольника.

Answer 1

Вот держи,Правильно перерисуй только

Answer 2

Building a Right-Angled Triangle and Calculating Its Perimeter

To build a right-angled triangle, we can use the Pythagorean theorem to ensure that one of the angles is 90 degrees. Let's assume the sides of the right-angled triangle are a, b, and c, where c is the hypotenuse.

Using the Pythagorean theorem, we have: c^2 = a^2 + b^2

Let's assume the sides of the right-angled triangle are: a = 3 units b = 4 units

Using the Pythagorean theorem: c^2 = 3^2 + 4^2 c^2 = 9 + 16 c^2 = 25 c = 5 units

So, the sides of the right-angled triangle are: a = 3 units b = 4 units c = 5 units

The perimeter of the right-angled triangle is: Perimeter = a + b + c Perimeter = 3 + 4 + 5 Perimeter = 12 units

Building a Quadrilateral with the Same Perimeter

To build a quadrilateral with the same perimeter, we can use different combinations of side lengths. Let's assume the sides of the quadrilateral are d, e, f, and g.

For example: d = 2 units e = 3 units f = 4 units g = 3 units

The perimeter of this quadrilateral is: Perimeter = d + e + f + g Perimeter = 2 + 3 + 4 + 3 Perimeter = 12 units

Measuring and Comparing the Areas of the Triangle and Quadrilateral

The area of a triangle can be calculated using the formula: Area = (base * height) / 2

The area of the right-angled triangle with base = 3 units and height = 4 units is: Area_triangle = (3 * 4) / 2 Area_triangle = 6 square units

The area of a quadrilateral can be calculated using different methods depending on the type of quadrilateral. Without specific information about the type of quadrilateral, it's challenging to calculate the area accurately.

However, we can compare the areas of the right-angled triangle and the quadrilateral based on the given side lengths. The right-angled triangle has an area of 6 square units, and the quadrilateral has a perimeter of 12 units. Without specific information about the type of quadrilateral, it's difficult to accurately compare the areas.

In conclusion, we have built a right-angled triangle with sides of 3, 4, and 5 units, calculated its perimeter, and constructed a quadrilateral with the same perimeter. We have also measured the area of the triangle and discussed the challenges in comparing it with the area of the quadrilateral without specific information about the quadrilateral's type.