△abc has vertices a(−6,5), b(−2,5), and c(−6,0).
what is the area of △abc?
10 units2
9 units2
14 units2
20 units2

The answer to your question is 20 units²

Step-by-step explanation:

Data

A (-6, 5)

B (-2, 5)

C (-6, 0)

Process

1.- Solve this problem using matrix

       |  -6   5|       Cross multiplication             Simplify                          Result

A =  | -2    5 |   = | -30 + 0 - 30 + 0 + 30 + 10 |   = | 40 - 60 |  = | -20 |  = 20 units²

       | -6    0|

       | -6    5|

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

step-by-step explanation:

in which figure is point g a centroid