Triangle Qrs, With Vertices Q(6, -2), R(4 -7) S (2,-5), Is Drawn Inside A Rectangle As Shown Below What Is The Area In Square Units Of The Triangle

Triangle QRS, with vertices Q(6, -2), R(4 -7) S (2,-5), is drawn inside a rectangle as shown below what is the area in square units of the triangle

 

Answer: 7

Step-by-step explanation:

Refer to the attached photo.

4 triangles are formed.

ASQ, BRS, RCS are all right triangles.

Area of ASQ= ½(3)(4)= 6

Area of BRS= ½(2)(2)= 2

Area of RCS= ½(2)(5)= 5

Area of AQCB= 4(5)= 20

Notice that if you subtract the areas of the three right triangles from the area of the rectangle, you get the desired area which is QRS.

So area of QRS= 20- 6- 2- 5= 7