Question

The perimeter of a triangle is 14.x - 4. If two of the sides measure 3.x - 2 and 5x + 3, then how long is the third side?

Answer 1

Given :

The perimeter of a triangle is, P = 14x - 4.

The sides are, a = 3x-2 and b = 5x + 3.

The perimeter of a triangle with sides a, b and c can be expressed as,

`P=a+b+c`

Substituting the values, we get,

`\begin{gathered} 14x-4=3x-2+5x+3-c \\ c=14x-4-(3x-2+5x+3) \\ c=6x-5 \end{gathered}`

Thus, the correct option d.