A triangle has side lengths of (x-8) (4x2 – 3) and (4x2 + 4).
If the perimeter is 650 units, what is the value of x?​

Given:

The three sides of a triangle are:

The perimeter of the triangle 650 units.

To find:

The value of x.

Solution:

Perimeter of a triangle is the sum of all three sides of the triangle. So,

The perimeter of the triangle 650 units.

Splitting the middle term, we get

Using zero product property, we get

For negative value of x, the side will be negative, which is not possible because the side of a triangle cannot be negative.

Therefore, the only value of x is 9.

the answer is 8.64

step-by-step explanation: