Triangle GHI, with vertices G(4,-8), H(8,-9), and I(5,-6), is drawn inside a rectangle, as shown below ,What is the area, in square units, of triangle GHI?

Hello,

Answer 9/2

Step-by-step explanation:

Let's put some points:

A=(4,-6)

B=(8,-6)

C=(4,-9) (the vertex of the rectangle)

AI=1, IB=3,AB=4

AG=2,GC=1

Area of the triangle AIG=1*2/2=1

Area of the triangle IBH=3*3/2=9/2

Area of the triangle GCH=1*4/2=2

Area of the rectangle=4*3=12

Area of the triangle IGH=12-1-9/2-2=9/2 (unit²)

Step-by-step explanation:

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