Question

What is the area of the triangle in the coordinate plane?

A 108 units^2
B 91 units^2
C 54 units^2
D 44 units^2

Answer 1

C

Explanation:

1) L x W x 1/2 or

2) A= Ax(By-Cy)+Bx(Cy-Ay)+Cz(Ay-By)

2

So Formula 1 would be:

12(l) X 9(w) = 108. Divide 108 by 1/2 = 54 units^2.

Formula 2 would be:

A= 1(14-5)+1(5-5)+13(5-14)

2

=9+0+-117 = | -108 |

2. | 2 |

= | -54 | = 54 units^2

Good luck to you!!