# Find the sides of an isosceles triangle if its perimeter is 64cm and the midline parallel to the base is 11cm.

July 28, 2021 | education

| We will solve this task in steps and explain each of them in detail.

1) 11 * 2 = 22 centimeters – the length of the base of an isosceles triangle, since the middle line parallel to the base is 11 centimeters;

2) 64 – 22 = 42 centimeters – the sum of the lengths of the sides, since the perimeter of an isosceles triangle is 64 centimeters, and the length of the base is 22 centimeters;

3) 42: 2 = 21 centimeters – the length of the side, since the sum of the sides is 42 centimeters, and they are equal to each other.

Answer: 21 centimeters.

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