Question

Боковая сторона равнобедренного треугольника на 4 см больше основания ,а периметр равен 26 см.найти боковую сторону

Answer 1

Обозначим х основание этого треугольника.Нам дано, что боковая сторона на 4см больше основания. Значит боковая сторона будет х+4.Поскольку нам еще дан периметр,то можем составить уравнение:х+х+4+х+4=26.3х=18.х=6.Основание равно 6.Найдем боковую сторону:6+4=10.Вот и все!

Answer 2

Problem Analysis

We are given that the lateral side of an isosceles triangle is 4 cm longer than the base, and the perimeter of the triangle is 26 cm. We need to find the length of the lateral side.

Solution

Let's assume that the length of the base of the triangle is x cm. According to the given information, the length of the lateral side is x + 4 cm.

The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is given as 26 cm. So we can write the equation:

base + lateral side + lateral side = perimeter

Substituting the values, we get:

x + (x + 4) + (x + 4) = 26

Simplifying the equation, we have:

3x + 8 = 26

Now, let's solve for x:

3x = 26 - 8

3x = 18

x = 18 / 3

x = 6

Therefore, the length of the base of the triangle is 6 cm.

To find the length of the lateral side, we substitute the value of x into the expression x + 4:

6 + 4 = 10

So, the length of the lateral side of the triangle is 10 cm.

Answer

The length of the lateral side of the given isosceles triangle is 10 cm.