Question

Периметр равностороннего треугольника равен 24 см Одна из его сторон является боковой стороной равнобедренного треугольника периметр которого равен 20 см найдите стороны равнобедренного треугольника с рисунком только. дам 20балов

Answer 1

Ответ：СD 4cм, ВС 8 см, ВD 8 см.

Answer 2

Perimeter of an Equilateral Triangle

To find the sides of the isosceles triangle, we need to first calculate the length of the sides of the equilateral triangle.

An equilateral triangle is a special type of triangle where all three sides are equal in length. Since the perimeter of the equilateral triangle is given as 24 cm, we can calculate the length of each side by dividing the perimeter by 3.

Let's denote the length of each side of the equilateral triangle as s.

Therefore, s = 24 cm / 3 = 8 cm.

Perimeter of an Isosceles Triangle

Now, let's move on to finding the sides of the isosceles triangle.

An isosceles triangle is a triangle that has two sides of equal length. We are given that one of the sides of the isosceles triangle is the same as one of the sides of the equilateral triangle.

Let's denote the length of the equal sides of the isosceles triangle as x.

We are also given that the perimeter of the isosceles triangle is 20 cm.

The perimeter of a triangle is the sum of the lengths of its sides. In this case, we have two equal sides of length x and one side of length 8 cm.

Therefore, we can write the equation:

2x + 8 cm = 20 cm

To find the value of x, we can solve this equation:

2x = 20 cm - 8 cm

2x = 12 cm

x = 12 cm / 2

x = 6 cm

So, the length of each equal side of the isosceles triangle is 6 cm.

Summary

To summarize, the sides of the equilateral triangle are 8 cm each, and the sides of the isosceles triangle are 6 cm each.

Here is a diagram to illustrate the triangles:

     /\
    /  \
   /    \
  /______\

In the diagram, the equilateral triangle has sides of length 8 cm, and the isosceles triangle has two equal sides of length 6 cm and a base of length 8 cm.

I hope this helps! Let me know if you have any further questions.