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Length of base of isosceles triangle, x = 7

Step-by-step 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

Answer:

7

Step-by-step explanation: