Geometry Homework

Question

The length of the base of an isosceles triangle is x. The length of a leg is 2x-3. The perimeter of the triangle is 59. Find x.

Answer 1

Equation for Isosceles Triangle Perimeter = 2a + b {a = side OR leg while b = base}

a = 2x - 3

b = x

Perimeter = 59

59 = 2(2x - 3) + x

1. Distributive Multiplication With [2 and 2x] + [2 and -3]
2. 59 = 4x - 6 + x
3. Addition of 4x and x
4. 59 = 5x -6
5. Addition of 6 on both sides of the equation
6. 59 + 6 = 5x - 6 + 6
7. 65 = 5x
8. Division of 5 on both sides of the equation
9. 65 / 5 = 5x / 5
10. 13 = x