Question

The length of the base of an isosceles triangle is x. The length of a leg is 4x - 3. The perimeter of the triangle is 39. Find x.

X=

Answer 1

The value of x is 5.

Explanation:

Given that:

Base of triangle = b = x

Length of side of triangle = a = 4x-3

Perimeter = 39

In an isosceles triangle, two sides of the triangle are equal.

Perimeter of an isosceles triangle is given by,

P = 2a+b

Putting the values

39 = 2(4x-3)+x

39=8x-6+x

39=9x-6

39+6=9x

45=9x

9x=45

Dividing both sides by 9

`(9x)/(9)=(45)/(9)\\x=5`

Hence,

The value of x is 5.