Question

The length of the base of an isosceles triangle is x. The length of a leg is 2 x-2 The perimeter of the triangle is 26 Find x.

Answer 1

6

Explanation:

To find the value of "x" in the isosceles triangle, we need to use the given information about the lengths of the base and legs, as well as the perimeter.

Let's start by setting up an equation based on the perimeter:

Perimeter = Sum of all sides

Since the triangle is isosceles, two sides (the legs) will have the same length, which is 2x - 2. The third side (the base) will have a length of x.

Perimeter = x + 2x - 2 + 2x - 2

Simplifying the equation:

Perimeter = 5x - 4

Given that the perimeter is 26, we can set up the equation:

5x - 4 = 26

Adding 4 to both sides:

5x = 30

Dividing both sides by 5:

x = 6

Therefore, the value of "x" in the isosceles triangle is 6.

Answer 2

• x = 6

Step-by-step explanation:

An isosceles triangle is triangle with two equal sides.

Formula to calculate perimeter of isosceles triangle Perimeter = 2a + b

Here a is the length of the two equal legs.

b is length of the base.

As per the question, base is x and length of two equal legs is 2x - 2

Putting the values,

• 2(2x - 2) + x = 26

Opening the brackets,

• 4x - 4 + x = 26

Combining like terms,

• 4x + x = 26 + 4
• 5x = 30

Dividing both sides by 5,

• x = 6