Length of base of isosceles triangle, x = 7
Explanation:
- Step 1: Given base of isosceles triangle, x = 7 and perimeter = 41
Length of one leg = 3x - 4. Since two sides, other than the base of an isosceles triangle are equal, the length of the other leg = 3x - 4.
- Step 2: Formula for perimeter of triangle = length of sides
- Step 3: Substitute values of sides in the formula
⇒ 41 = x + (3x - 4) + (3x - 4) = x + 2(3x - 4)
⇒ 41 = x + 6x - 8
⇒ 41 = 7x - 8
⇒ 49 = 7x
⇒ x = 7