Question

Периметр раынобедреного треугольника равен 28 см . основание его на 2 см меньше боковой стороны. найти стороны треугольника?

Answer 1

X- основание X + 2 - боковая сторона X+ x+2+x+2= 28 X=8 - основание 8+2=10 -Боковая сторона 8+2=10- Боковая сторона

Answer 2

Perimeter of an Isosceles Triangle

To find the sides of the triangle, let's denote the length of the base as x and the length of the two equal sides as y. According to the given information, the perimeter of the triangle is 28 cm, and the base is 2 cm shorter than the side.

Let's set up the equation for the perimeter:

Perimeter = x + y + y = 28 cm

Since the base is 2 cm shorter than the side, we can express the base length in terms of the side length:

x = y - 2

Substituting this expression into the perimeter equation, we get:

(y - 2) + y + y = 28 cm

Simplifying the equation:

3y - 2 = 28 cm

Now, let's solve for y:

3y = 28 + 2

3y = 30

y = 30 / 3

y = 10 cm

Now that we have the length of one side (y), we can find the length of the base (x) using the equation:

x = y - 2

x = 10 - 2

x = 8 cm

Therefore, the sides of the triangle are 8 cm, 10 cm, and 10 cm.