Question

The length of the base of an isosceles triangle is x. The length of a leg is 5x - 3. The perimeter of the triangle is 104.

Answer 1

x = 10

Step-by-Step Explanation:

Since this triangle is an isosceles, that means two sides are the same and so being that two sides are the same, we can use this equation (5x - 3) • 2.

At first I tried 5, but soon after realized that it wouldn't be enough to make 104, so I doubled the number to 10.

x = 10

((5 • 10) - 3) • 2

(50 -3) • 2

47 • 2 = 94 ( sum of the two equal sides)

94 + 10 = 104

Answer 2

To find the value of x, the base of the isosceles triangle, we use the given perimeter of 104 units to set up the equation 104 = x + 2(5x - 3), which simplifies to x = 10 units.

Step-by-step explanation:

To determine the value of x, we use the perimeter of the isosceles triangle given by the equation P = base + 2(leg), where P is the perimeter. In this case, P = 104, the base is x, and the leg is 5x - 3. Setting up the equation:

104 = x + 2(5x - 3)

104 = x + 10x - 6

104 + 6 = 11x

110 = 11x

x = 10

Therefore, the value of x, which represents the length of the base of the isosceles triangle, is 10 units.