The perimeter of an isosceles triangle 26, the base is 4 less than the side, find the side.
February 2, 2021 | education
| Let’s solve the problem using the equation. Let’s denote the side of the triangle as x, the second side is also x (since the triangle is isosceles).
The base is 4 cm less than the side, which means the base is (x – 4).
The perimeter is the sum of the lengths of all sides. The equation turns out:
x + x + (x – 4) = 26.
We solve the resulting equation and find x.
x + x + x – 4 = 26;
3x – 4 = 26;
3x = 26 + 4;
3x = 30;
x = 30/3 = 10 (cm).
Let’s check: the sides are 10 cm, the base is 10 – 4 = 6 cm.
P = 10 + 10 + 6 = 26 (cm) – true.
Answer: the length of the side is 10 cm.
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