Question

The length of the base of an isosceles triangle is x. The length of a leg is 3x-6. The perimeter of the triangle is 51. Find x

Answer 1

x = 9

Explanation:

The perimeter is the sum of the lengths of the base and the two equal legs:

51 = x + 2(3x -6)

51 = 7x -12 . . . . . eliminate parentheses

63 = 7x . . . . . . . . add 12

9 = x . . . . . . . . . . divide by 7