The side of an isosceles triangle is 4 cm longer than the base, and the perimeter of the triangle

The side of an isosceles triangle is 4 cm longer than the base, and the perimeter of the triangle is 44 cm. Find the base and the side.

Let’s solve this problem using the equation.
Let the base length be x centimeters, then the sides are (x + 4) centimeters. We know that the perimeter of an equilateral triangle is 44 centimeters. Let’s make the equation:
x + x + 4 + x + 4 = 44;
x + x + x + 8 = 44;
x + x + x = 44 – 8;
x + x + x = 36;
x * (1 + 1 + 1) = 36;
x * 3 = 36;
x = 36: 3;
x = 12 centimeters – the length of the base of an equilateral triangle;
12 + 4 = 16 centimeters – the length of the sides of an equilateral triangle.
Answer: 12 centimeters; 16 centimeters.



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