The perimeter of an isosceles triangle is 20 cm. Find the sides of the triangle if its lateral

The perimeter of an isosceles triangle is 20 cm. Find the sides of the triangle if its lateral side relates to the base as 3: 4

1. Let’s denote one part by x.

2. Define the lateral side of an isosceles triangle:

3 * x = 3x cm.

3. Find out the length of the base of the triangle:

4 * x = 4x cm.

4. Let’s compose and solve the equation:

3x + 3x + 4x = 20;

10x = 20;

x = 20: 10;

x = 5.

5. One part is equal to x = 5.

6. How long is the lateral side of an isosceles triangle?

3 * 5 = 15 (cm).

7. What is the base of this triangle?

4 * 5 = 20 (cm).

Answer: the sides of an isosceles triangle are 15 cm, 15 cm, 20 cm.