The perimeter of an isosceles triangle is 19.8 cm. Find its sides if you know that its side is 1.5 cm larger than the base.

Given:
The perimeter of an isosceles triangle is 19.8 cm.
The lateral side is 1.5 cm larger than the base.
Let the base of this triangle be x cm.
Then the side will be (x + 1.5) cm.
The second third side will also be equal to (x + 1.5) cm.
Let’s make the equation:
x + x + 1.5 + x + 1.5 = 19.8;
3x + 3 = 19.8;
3x = 19.8 – 3;
3x = 16.8;
x = 16.8: 3;
x = 5.6.
The base of the triangle is 5.6 cm.
Let’s find what the sides are equal to:
5.6 + 1.5 = 7.1 cm.
Answer: 7.1 cm, 7.1 cm and 5.6 cm.