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

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