Find the area of the triangle with the given vertices A(1, 3), B(-3, 5), and C with C = 2A. (3) (3.2) Use (3.1) to find the coordinates of the point D such that the quadrilateral ABCD is a paral- (3) lelogram.
1
Expert's answer
2021-06-12T00:48:12-0400
(3.1)
AB=⟨−3−1,5−3⟩=⟨−4,2⟩
C=(2(1),2(3))
AC=⟨2(1)−1,2(3)−3⟩=⟨1,3⟩
AB×AC=∣∣i−41j23k00∣∣=(−4(3)−2(1))k=−14k
=(−4(3)−2(1))k=−14k
AreaABC=21∣AB×AC∣=7(units2)
Area of the triangle ABC is 7 square units.
(3.2)
Assume that the fourth vertex of parallelogram is D(x,y)
Comments