contestada

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 55. Find x.

Respuesta :

KatiePark16

Answer:

9

Step-by-step explanation:

In an isosceles triangle, the perimeter (P) is given by the formula:

P = Base + 2 * Leg

Given that the length of the base is x and the length of a leg is 3x−4, we can write the equation for the perimeter:

55 = x+2(3x-4)

Now solve for x:

55 = x + 6x - 8

Combine like terms:

55 = 7x - 8

Add 8 to both sides:

63 = 7x

Divide by 7:

x = 9

Therefore, the value of x is 9.

Otras preguntas