Question

The length of the base of an isosceles triangle is x. The length of a leg is 3x -4. The perimeter of the triangle is 41. Find x.

Answer 1

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