The perimeter of an isosceles triangle is 15.6 m. Find its sides if the base is less than the side by 3 m.
May 28, 2021 | education
| Let’s solve this problem using the equation.
Let the length of the base of an isosceles triangle be x meters, then the lengths of its lateral sides are (x + 3) meters. We know that the perimeter of this isosceles triangle is 15.6 meters. Let’s make the equation:
x + x +3 + x + 3 = 15.6;
x + x + x + 6 = 15.6;
x + x + x = 15.6 – 6;
x + x + x = 6.6;
x * (1 + 1 + 1) = 6.6;
x * 3 = 6.6 (in order to find an unknown factor, you need to divide the product by a known factor);
x = 6.6: 3;
x = 2.2 meters – base length;
2.2 + 3 = 5.2 meters – the length of the bases.
Answer: 2.2 meters; 5.2 meters; 5.2 meters.
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