The perimeter of an isosceles triangle is 25 cm. Find the lengths of the sides of the triangle if its side

| September 4, 2021 | education

The perimeter of an isosceles triangle is 25 cm. Find the lengths of the sides of the triangle if its side is 5 cm larger than the base.

Let x denote the length of the base of this isosceles triangle.
According to the condition of the problem, the lateral side of this isosceles triangle is 5 cm larger than its base, therefore, the lateral side of this triangle is equal to:
x + 5 cm.
It is also known that the perimeter of this triangle is 25 cm, therefore, we can draw up the following equation:
x + x + 5 + x + 5 = 25.
We solve the resulting equation:
3 * x + 10 = 25;
3 * x = 25 – 10;
3 * x = 15;
x = 15/3;
x = 5 cm.
Knowing the length of the base x, we find the lateral side of this isosceles triangle:
x + 5 = 5 + 5 = 10 cm.

Answer: the base of this isosceles triangle is 5 cm, its lateral side is 10 cm.



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