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Three unit squares and two lines are shown. What is the area of triangle ABC?

May 26, 2020

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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 $$\dfrac{1}{5}.$$

!

May 26, 2020
edited by asinus  May 26, 2020