The base of the isosceles triangle ABC is 4 cm less than the lateral side.
September 7, 2021 | education
| The base of the isosceles triangle ABC is 4 cm less than the lateral side. the perimeter of triangle ABC is 47 cm. Find the length of the base of the triangle.
An isosceles triangle is a triangle whose sides are equal. The perimeter of a triangle is equal to the sum of its sides.
1. The length of the lateral side of an isosceles triangle is x centimeters.
2. The base of the triangle is equal to (x – 4) centimeters.
3. Let’s compose and solve the equation.
x * 2 + (x – 4) = 47;
2x + x – 4 = 47;
2x + x = 47 + 4;
3x = 51;
x = 51/3;
x = 17;
4. Determine what is the base of an isosceles triangle.
x – 4 = 17 – 4 = 13 centimeters.
Answer: The base of the triangle is thirteen centimeters.
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