Find the side length in an isosceles triangle if the side to base ratio is 5: 6 and the perimeter is 48 cm.

Let’s solve this problem using the equation. Let one part of the sides be x centimeters, then the sides of an isosceles triangle are 5 * x centimeters. Then the base is 6 * x centimeters. By the condition of the problem, the perimeter of an isosceles triangle is 48 centimeters. Let’s make an equation. 5 * x + 5 * x + 6 * x = 48; x * (5 + 5 + 6) = 48; x * 16 = 48; To find an unknown factor, you need to divide the product by a known factor x = 48: 16; x = 3, 3 * 5 = 15 centimeters – the length of the sides of the triangle. Then 3 * 6 = 18 centimeters – the length of the base of the triangle.
Answer: 15 and 18 centimeters.