Question

Медиана равнобедр. треугольника, проведенная к боковой стороне, делит его периметр на две части длинной 9 и 5 см. Найти длину боковой стороны треуг., если его основание равно 2 см.

Answer 1

P=9+5=14;\\
у нас равнобедренній треугольник, пусть боковая сторона =х
х+х+2=9+5;
2x=14-2;\\
x=6;
$> поскольку медиана делит боковую напополам, тогда длина боковой стороні треугольника=6см </div> <div class=$ 0 0

Answer 2

Finding the Length of the Side of an Isosceles Triangle

To find the length of the side of an isosceles triangle, we can use the information given in the problem. Let's break down the problem step by step:

1. The median of an isosceles triangle, drawn to the side, divides the triangle's perimeter into two equal parts. 2. The lengths of the two parts are given as 9 cm and 5 cm. 3. The base of the triangle is given as 2 cm.

To find the length of the side of the triangle, we need to determine the perimeter of the triangle.

Solution:

1. Let's assume the length of the side of the triangle is x cm. 2. The perimeter of the triangle is the sum of the lengths of all three sides. 3. Since the triangle is isosceles, two sides are of length x cm, and the base is 2 cm. 4. The perimeter can be calculated as: perimeter = x + x + 2.

According to the problem, the median divides the perimeter into two equal parts, with lengths of 9 cm and 5 cm. This means that half of the perimeter is 9 cm and the other half is 5 cm.

5. We can set up the following equation: (perimeter / 2) = 9 + 5.

Now, let's solve the equation to find the value of x.

6. Simplifying the equation, we have: (2x + 2) / 2 = 14. 7. Dividing both sides of the equation by 2, we get: 2x + 2 = 28. 8. Subtracting 2 from both sides, we have: 2x = 26. 9. Dividing both sides by 2, we find: x = 13.

Therefore, the length of the side of the triangle is 13 cm.

Answer:

The length of the side of the isosceles triangle, given that its base is 2 cm and the median divides its perimeter into two parts of lengths 9 cm and 5 cm, is 13 cm.