Question

Стороны треугольника 8 см 10см 12 см найдите периметр и площадь треугольника вершинами каторого являются середины сторон данного треугольника

Answer 1

8+10+12=30 см периметр
8*10*12:2=480 см площадь

Answer 2

Perimeter of the Triangle

To find the perimeter of a triangle, we need to add the lengths of all three sides. In this case, the lengths of the sides are given as 8 cm, 10 cm, and 12 cm. Adding these lengths together gives us the perimeter of the triangle.

The perimeter of the triangle with side lengths 8 cm, 10 cm, and 12 cm is 8 cm + 10 cm + 12 cm = 30 cm.

Area of the Triangle

To find the area of the triangle, we can use the formula for the area of a triangle: A = (base * height) / 2. In this case, the triangle is formed by connecting the midpoints of the sides of the given triangle.

To find the base and height of the new triangle, we can use the fact that the midpoints of the sides of a triangle divide the sides into segments of equal length. Therefore, the base of the new triangle is equal to half the sum of the lengths of the original triangle's sides, and the height is equal to the length of the third side of the original triangle.

In this case, the lengths of the sides of the original triangle are 8 cm, 10 cm, and 12 cm. Therefore, the base of the new triangle is (8 cm + 10 cm) / 2 = 9 cm, and the height is equal to the length of the third side, which is 12 cm.

Using the formula for the area of a triangle, we can calculate the area of the new triangle:

A = (base * height) / 2 = (9 cm * 12 cm) / 2 = 54 cm².

Therefore, the area of the triangle with side lengths 8 cm, 10 cm, and 12 cm, and with vertices at the midpoints of the sides, is 54 cm².