The perimeter of an isosceles triangle is 40 cm. Its base is 7 cm larger than the lateral side
August 12, 2021 | education
| The perimeter of an isosceles triangle is 40 cm. Its base is 7 cm larger than the lateral side, calculate the lengths of the sides of the triangle.
1. The base of the triangle is x centimeters.
2. Let’s calculate the value of its lateral side.
(x – 7) centimeters.
3. Let’s compose the equation.
x + (x – 7) * 2 = 40;
x + 2x – 14 = 40;
3x = 40 + 14 = 54;
x = 54/3 = 18;
x = 18;
Answer: The base is x = 18 centimeters, the side is x – 7 = 18 – 7 = 11 centimeters.
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