Question

The base of a triangle is represented by (2x − 6) and the height by (x − 2). Which polynomial expression BEST represents the area of the triangle?

Answer 1

Answer:

x² - 5 x + 6

Step-by-step explanation:

Area = 1/2 × base × height .

Given :

base = 2 x - 6 .

height = x - 2 .

Area = 1/2 × ( 2 x - 6 )( x - 2 )

        = 1/2 × 2 ( x - 3 )( x - 2 )

        = ( x - 3 )( x - 2 )

        = x ( x - 2 ) - 3 ( x - 2 )

        = x² - 2 x - 3 x + 6

       = x² - 5 x + 6 .

Thats it !!! .

Answer 2

Answer :

x² - 5x + 6

Step-by-step explanation :

We know that ;

Area of triangle = 1 / 2 * Base * Height.

Here,

Base = 2x - 6

Height = x - 2

Therefore,

Area of triangle = 1 / 2 * Base * Height

                           = 1 / 2 * ( 2x - 6 ) * ( x - 2 )

                           = 1 / 2 * 2 ( x - 3 ) ( x - 2 )

                           = ( x - 3 ) ( x - 2 )

                           = x² - 2x - 3x + 6

                          = x² - 5x + 6

Hence, area of triangle is x² - 5x + 6.