Three unit squares and two lines are shown. What is the area of triangle ABC?
+14913 Three unit squares and two lines are shown. What is the area of triangle ABC?
Hello Guest!
The coordinate origin is in point A.
\(\color{blue}y=-0.5x\\ \color{blue}y=2x-2\\ 2x-2=-0.5x\\ 2.5x=2\)
\(x=\frac{4}{5}\)
\(y=-0.5\cdot \frac{4}{5}\)
\(y=-\frac{2}{5}\)
Triangle ABC
\(A=\frac{1}{2}\cdot 1\cdot\frac{2}{5}\)
\(A=\frac{1}{5}\)
The area of triangle ABC is \(\dfrac{1}{5}.\)
!
