Question

Гена начертил прямоугольник со сторонами 6 см и 4 см ,провел диагональ.Чему равна площадь одного из получившихся треугольников помогите пожалустаааааааа Ответ

Answer 1

1)6*4=24см квадратных площадь мрямоугольника
2)24/2=12см квадратных площадь одного треугольника

Answer 2

Calculation of the Area of a Triangle

To find the area of one of the triangles formed by the diagonal of a rectangle, we can use the formula for the area of a triangle: Area = (base * height) / 2.

Given Information

In this case, we are given that the rectangle has sides measuring 6 cm and 4 cm. The diagonal of the rectangle is drawn, which divides the rectangle into two congruent right triangles.

Calculation

To find the area of one of the triangles, we need to determine the base and height of the triangle. Since the diagonal of the rectangle is drawn, it acts as the hypotenuse of each right triangle.

Using the Pythagorean theorem, we can calculate the length of the diagonal: diagonal^2 = base^2 + height^2

Substituting the given values: diagonal^2 = 6^2 + 4^2 diagonal^2 = 36 + 16 diagonal^2 = 52

Taking the square root of both sides, we find: diagonal = sqrt(52) diagonal ≈ 7.2111 cm

Now that we know the length of the diagonal, we can use it as the base or height of the triangle. Let's choose the diagonal as the base.

Using the formula for the area of a triangle, we have: Area = (base * height) / 2 Area = (7.2111 * 4) / 2 Area ≈ 14.4222 cm^2

Therefore, the area of one of the triangles formed by the diagonal of the rectangle is approximately 14.4222 square centimeters.

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