Question

What is the area
of the triangle?

Answer 1

18 units²

Explanation:

there are two ways to calculate the required area.

way 1.

the length of the side AB=7+2=9; the length of CD is 6-2=4 (note, CD⊥AC), then the required area is:

A=9*4/2=18.

way 2.

the coordinates of the vector AB=(0;-9), of vector AC=(4;-3).

The required area can be calculated using the formula: A=0.5*[ABxAC].

`|A|=|(1)/(2)*\left[\begin{array}{ccc}0&-9\\4&-3\\\end{array}\right]|=|(-36):2|=18.`

Answer 2

.............hope it helps.......