The perimeter of an isosceles triangle is 35, one of its outer corners is acute.

The perimeter of an isosceles triangle is 35, one of its outer corners is acute. Find the sides of the triangle, considering that one of them is larger than the other by 5.

Given:
The perimeter of an isosceles triangle is 35 centimeters.
One side of the triangle is 5 centimeters larger than the other.

Let the side of the triangle be x centimeters.
The second side will also be x centimeters long.
Then the base is (x + 5) centimeters.
Let’s make the equation:
x + x + x + 5 = 35;
3x = 35 – 5;
3x = 30;
x = 30: 3;
x = 10.
The sides of the polygon are each 10 centimeters long.
Let’s calculate the base of the figure:
10 + 5 = 15 cm.
Answer: 10, 10, 15 cm.