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The length of the base of an isosceles triangle is x. The length of a leg is 2x − 5. The perimeter of the triangle is 20. Find x.

Respuesta :

The value of x is 6

What is perimeter?

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

We know, In isosceles triangle the two sides are equal.

So, here in question in given that

The length of the base of an isosceles triangle is x.

The length of a leg is 2x − 5.

perimeter of the triangle is 20.

The formula of perimeter of isosceles triangle = 2a + b

a = sides of triangle

b = base

Here,

a = 2x - 5

b = x

perimeter = 20

Now, put these values in given formula and then solve for 'x'

2 ( 2x - 5) + x = 20

=> 4x - 10 + x = 20

=> 5x = 20 + 10

=> 5x = 30

=> x = 30/5

=> x = 6

Therefore, the value of x is 6

To read more about the Perimeter.

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